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52976304 = 24323761163
BaseRepresentation
bin1100101000010…
…1101010110000
310200200110211100
43022011222300
5102030220204
65131244400
71212201603
oct312055260
9120613740
1052976304
11279a3977
12158a9700
13ac8b034
14707033a
1549b6a39
hex3285ab0

52976304 has 120 divisors (see below), whose sum is σ = 155712752. Its totient is φ = 16796160.

The previous prime is 52976293. The next prime is 52976381. The reversal of 52976304 is 40367925.

52976304 = T91 + T92 + ... + T682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324927 + ... + 325089.

Almost surely, 252976304 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 52976304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77856376).

52976304 is an abundant number, since it is smaller than the sum of its proper divisors (102736448).

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

52976304 is a wasteful number, since it uses less digits than its factorization.

52976304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 52976304 is about 7278.4822593725. The cubic root of 52976304 is about 375.5725866072.

The spelling of 52976304 in words is "fifty-two million, nine hundred seventy-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 61 72 74 111 122 144 148 163 183 222 244 296 326 333 366 444 488 489 549 592 652 666 732 888 976 978 1098 1304 1332 1464 1467 1776 1956 2196 2257 2608 2664 2928 2934 3912 4392 4514 5328 5868 6031 6771 7824 8784 9028 9943 11736 12062 13542 18056 18093 19886 20313 23472 24124 27084 29829 36112 36186 39772 40626 48248 54168 54279 59658 72372 79544 81252 89487 96496 108336 108558 119316 144744 159088 162504 178974 217116 238632 289488 325008 357948 367891 434232 477264 715896 735782 868464 1103673 1431792 1471564 2207346 2943128 3311019 4414692 5886256 6622038 8829384 13244076 17658768 26488152 52976304