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56533752 = 233211411741
BaseRepresentation
bin1101011110101…
…0001011111000
310221101012201200
43113222023320
5103433040002
65335414200
71254346302
oct327521370
9127335650
1056533752
1129a03710
1216b24360
13b935332
147718972
154e6ab1c
hex35ea2f8

56533752 has 96 divisors (see below), whose sum is σ = 171203760. Its totient is φ = 16704000.

The previous prime is 56533751. The next prime is 56533769. The reversal of 56533752 is 25733565.

56533752 is a `hidden beast` number, since 56 + 533 + 75 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56533751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31602 + ... + 33342.

Almost surely, 256533752 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 56533752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85601880).

56533752 is an abundant number, since it is smaller than the sum of its proper divisors (114670008).

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

56533752 is a wasteful number, since it uses less digits than its factorization.

56533752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1798 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 56533752 is about 7518.8930036276. The cubic root of 56533752 is about 383.7979079843.

The spelling of 56533752 in words is "fifty-six million, five hundred thirty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1741 1804 2706 2952 3482 3608 4059 5223 5412 6964 8118 10446 10824 13928 15669 16236 19151 20892 31338 32472 38302 41784 57453 62676 71381 76604 114906 125352 142762 153208 172359 214143 229812 285524 344718 428286 459624 571048 642429 689436 785191 856572 1284858 1378872 1570382 1713144 2355573 2569716 3140764 4711146 5139432 6281528 7066719 9422292 14133438 18844584 28266876 56533752