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4500045720 = 233452635281
BaseRepresentation
bin1000011000011100…
…10011111110011000
3102121121122000020000
410030032103332120
533204002430340
62022311333000
7216341520552
oct41416237630
912547560200
104500045720
1119aa181a55
12a57081160
135693c1561
1430991c4d2
151b50ebd30
hex10c393f98

4500045720 has 160 divisors (see below), whose sum is σ = 15185538720. Its totient is φ = 1195223040.

The previous prime is 4500045689. The next prime is 4500045721. The reversal of 4500045720 is 275400054.

It is a super-3 number, since 3×45000457203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4500045721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 849480 + ... + 854760.

It is an arithmetic number, because the mean of its divisors is an integer number (94909617).

Almost surely, 24500045720 is an apocalyptic number.

4500045720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4500045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592769360).

4500045720 is an abundant number, since it is smaller than the sum of its proper divisors (10685493000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4500045720 is a wasteful number, since it uses less digits than its factorization.

4500045720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 4500045720 is about 67082.3801008879. The cubic root of 4500045720 is about 1650.9692156919.

Adding to 4500045720 its reverse (275400054), we get a palindrome (4775445774).

The spelling of 4500045720 in words is "four billion, five hundred million, forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 263 270 324 360 405 526 540 648 789 810 1052 1080 1315 1578 1620 2104 2367 2630 3156 3240 3945 4734 5260 5281 6312 7101 7890 9468 10520 10562 11835 14202 15780 15843 18936 21124 21303 23670 26405 28404 31560 31686 35505 42248 42606 47340 47529 52810 56808 63372 71010 79215 85212 94680 95058 105620 106515 126744 142020 142587 158430 170424 190116 211240 213030 237645 284040 285174 316860 380232 426060 427761 475290 570348 633720 712935 852120 855522 950580 1140696 1388903 1425870 1711044 1901160 2138805 2777806 2851740 3422088 4166709 4277610 5555612 5703480 6944515 8333418 8555220 11111224 12500127 13889030 16666836 17110440 20833545 25000254 27778060 33333672 37500381 41667090 50000508 55556120 62500635 75000762 83334180 100001016 112501143 125001270 150001524 166668360 187501905 225002286 250002540 300003048 375003810 450004572 500005080 562505715 750007620 900009144 1125011430 1500015240 2250022860 4500045720