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4635042000 = 243531315897
BaseRepresentation
bin1000101000100010…
…10010000011010000
3102222000122112022020
410110101102003100
533443032321000
62043533011440
7222601130661
oct42421220320
912860575266
104635042000
111a693a6726
12a94323b80
1358b369204
1431d81d368
151c1db5ba0
hex1144520d0

4635042000 has 160 divisors (see below), whose sum is σ = 15060000384. Its totient is φ = 1226368000.

The previous prime is 4635041969. The next prime is 4635042007. The reversal of 4635042000 is 2405364.

It is a super-2 number, since 2×46350420002 = 42967228683528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635042007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783052 + ... + 788948.

Almost surely, 24635042000 is an apocalyptic number.

4635042000 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 4635042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530000192).

4635042000 is an abundant number, since it is smaller than the sum of its proper divisors (10424958384).

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

4635042000 is a wasteful number, since it uses less digits than its factorization.

4635042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4635042000 is about 68081.1427636170. The cubic root of 4635042000 is about 1667.3158981773.

Adding to 4635042000 its reverse (2405364), we get a palindrome (4637447364).

The spelling of 4635042000 in words is "four billion, six hundred thirty-five million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 131 150 200 240 250 262 300 375 393 400 500 524 600 655 750 786 1000 1048 1200 1310 1500 1572 1965 2000 2096 2620 3000 3144 3275 3930 5240 5897 6000 6288 6550 7860 9825 10480 11794 13100 15720 16375 17691 19650 23588 26200 29485 31440 32750 35382 39300 47176 49125 52400 58970 65500 70764 78600 88455 94352 98250 117940 131000 141528 147425 157200 176910 196500 235880 262000 283056 294850 353820 393000 442275 471760 589700 707640 737125 772507 786000 884550 1179400 1415280 1474250 1545014 1769100 2211375 2317521 2358800 2948500 3090028 3538200 3862535 4422750 4635042 5897000 6180056 7076400 7725070 8845500 9270084 11587605 11794000 12360112 15450140 17691000 18540168 19312675 23175210 30900280 35382000 37080336 38625350 46350420 57938025 61800560 77250700 92700840 96563375 115876050 154501400 185401680 193126750 231752100 289690125 309002800 386253500 463504200 579380250 772507000 927008400 1158760500 1545014000 2317521000 4635042000