Search a number
-
+
56034528 = 25311471129
BaseRepresentation
bin1101010111000…
…0010011100000
310220102211220220
43111300103200
5103321101103
65321003040
71250166654
oct325602340
9126384826
1056034528
11296a2630
1216923480
13b7bc034
147628a64
154dbcc53
hex35704e0

56034528 has 96 divisors (see below), whose sum is σ = 164021760. Its totient is φ = 16604160.

The previous prime is 56034487. The next prime is 56034529. The reversal of 56034528 is 82543065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56034529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49068 + ... + 50196.

It is an arithmetic number, because the mean of its divisors is an integer number (1708560).

Almost surely, 256034528 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 56034528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82010880).

56034528 is an abundant number, since it is smaller than the sum of its proper divisors (107987232).

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

56034528 is a wasteful number, since it uses less digits than its factorization.

56034528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 56034528 is about 7485.6214170902. The cubic root of 56034528 is about 382.6648509804.

The spelling of 56034528 in words is "fifty-six million, thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1129 1504 1551 2068 2256 2258 3102 3387 4136 4512 4516 6204 6774 8272 9032 12408 12419 13548 16544 18064 24816 24838 27096 36128 37257 49632 49676 53063 54192 74514 99352 106126 108384 149028 159189 198704 212252 298056 318378 397408 424504 583693 596112 636756 849008 1167386 1192224 1273512 1698016 1751079 2334772 2547024 3502158 4669544 5094048 7004316 9339088 14008632 18678176 28017264 56034528