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52264832 = 272341433
BaseRepresentation
bin1100011101011…
…1111110000000
310122100022212112
43013113332000
5101334433312
65104114452
71203146414
oct307277600
9118308775
1052264832
1127558384
1215605a28
13aa9c249
146d26d44
1548c5d22
hex31d7f80

52264832 has 64 divisors (see below), whose sum is σ = 111555360. Its totient is φ = 24330240.

The previous prime is 52264819. The next prime is 52264841. The reversal of 52264832 is 23846225.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×522648322 = 5463225327976448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120488 + ... + 120920.

Almost surely, 252264832 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 52264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55777680).

52264832 is an abundant number, since it is smaller than the sum of its proper divisors (59290528).

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

52264832 is a wasteful number, since it uses less digits than its factorization.

52264832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 52264832 is about 7229.4420254955. The cubic root of 52264832 is about 373.8836894177.

The spelling of 52264832 in words is "fifty-two million, two hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 328 368 433 656 736 866 943 1312 1472 1732 1886 2624 2944 3464 3772 5248 6928 7544 9959 13856 15088 17753 19918 27712 30176 35506 39836 55424 60352 71012 79672 120704 142024 159344 284048 318688 408319 568096 637376 816638 1136192 1274752 1633276 2272384 3266552 6533104 13066208 26132416 52264832