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52115712 = 2831131199
BaseRepresentation
bin1100011011001…
…1100100000000
310122001202022120
43012303210000
5101320200322
65101004240
71201655565
oct306634400
9118052276
1052115712
1127466340
1215553680
13aa493cc
146cc886c
154896a5c
hex31b3900

52115712 has 144 divisors (see below), whose sum is σ = 156979200. Its totient is φ = 15206400.

The previous prime is 52115683. The next prime is 52115717. The reversal of 52115712 is 21751125.

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

It is not an unprimeable number, because it can be changed into a prime (52115717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261789 + ... + 261987.

Almost surely, 252115712 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 52115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78489600).

52115712 is an abundant number, since it is smaller than the sum of its proper divisors (104863488).

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

52115712 is a wasteful number, since it uses less digits than its factorization.

52115712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 700, while the sum is 24.

The square root of 52115712 is about 7219.1212761665. The cubic root of 52115712 is about 373.5277672010.

Adding to 52115712 its reverse (21751125), we get a palindrome (73866837).

The spelling of 52115712 in words is "fifty-two million, one hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 199 248 256 264 341 352 372 384 398 496 528 597 682 704 744 768 796 992 1023 1056 1194 1364 1408 1488 1592 1984 2046 2112 2189 2388 2728 2816 2976 3184 3968 4092 4224 4378 4776 5456 5952 6169 6368 6567 7936 8184 8448 8756 9552 10912 11904 12338 12736 13134 16368 17512 18507 19104 21824 23808 24676 25472 26268 32736 35024 37014 38208 43648 49352 50944 52536 65472 67859 70048 74028 76416 87296 98704 105072 130944 135718 140096 148056 152832 197408 203577 210144 261888 271436 280192 296112 394816 407154 420288 542872 560384 592224 789632 814308 840576 1085744 1184448 1579264 1628616 1681152 2171488 2368896 3257232 4342976 4737792 6514464 8685952 13028928 17371904 26057856 52115712