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45331620 = 223523107307
BaseRepresentation
bin1010110011101…
…1010010100100
310011022002021220
42230323102210
543101102440
64255340340
71060212105
oct254732244
9104262256
1045331620
1123652354
12132216b0
139512559
1460403ac
153ea68d0
hex2b3b4a4

45331620 has 96 divisors (see below), whose sum is σ = 134120448. Its totient is φ = 11417472.

The previous prime is 45331619. The next prime is 45331621. The reversal of 45331620 is 2613354.

It is a happy number.

45331620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45331619) and next prime (45331621).

It is not an unprimeable number, because it can be changed into a prime (45331621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147507 + ... + 147813.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 245331620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45331620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060224).

45331620 is an abundant number, since it is smaller than the sum of its proper divisors (88788828).

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

45331620 is a wasteful number, since it uses less digits than its factorization.

45331620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 45331620 is about 6732.8760570799. The cubic root of 45331620 is about 356.5609240009.

Adding to 45331620 its reverse (2613354), we get a palindrome (47944974).

The spelling of 45331620 in words is "forty-five million, three hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 107 115 138 214 230 276 307 321 345 428 460 535 614 642 690 921 1070 1228 1284 1380 1535 1605 1842 2140 2461 3070 3210 3684 4605 4922 6140 6420 7061 7383 9210 9844 12305 14122 14766 18420 21183 24610 28244 29532 32849 35305 36915 42366 49220 65698 70610 73830 84732 98547 105915 131396 141220 147660 164245 197094 211830 328490 394188 423660 492735 656980 755527 985470 1511054 1970940 2266581 3022108 3777635 4533162 7555270 9066324 11332905 15110540 22665810 45331620