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56233944 = 23321373823
BaseRepresentation
bin1101011010000…
…0111111011000
310220210222110200
43112200333120
5103343441234
65325142200
71251660234
oct326407730
9126728420
1056233944
1129819438
12169ba960
13b85ba30
14767b5c4
154e0bd99
hex35a0fd8

56233944 has 96 divisors (see below), whose sum is σ = 166464480. Its totient is φ = 17044992.

The previous prime is 56233937. The next prime is 56233963. The reversal of 56233944 is 44933265.

56233944 is a `hidden beast` number, since 562 + 3 + 3 + 94 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56233899 and 56233908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67917 + ... + 68739.

It is an arithmetic number, because the mean of its divisors is an integer number (1734005).

Almost surely, 256233944 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 56233944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83232240).

56233944 is an abundant number, since it is smaller than the sum of its proper divisors (110230536).

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

56233944 is a wasteful number, since it uses less digits than its factorization.

56233944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 56233944 is about 7498.9295236054. The cubic root of 56233944 is about 383.1182568335.

The spelling of 56233944 in words is "fifty-six million, two hundred thirty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 468 584 657 823 876 936 949 1314 1646 1752 1898 2469 2628 2847 3292 3796 4938 5256 5694 6584 7407 7592 8541 9876 10699 11388 14814 17082 19752 21398 22776 29628 32097 34164 42796 59256 60079 64194 68328 85592 96291 120158 128388 180237 192582 240316 256776 360474 385164 480632 540711 720948 770328 781027 1081422 1441896 1562054 2162844 2343081 3124108 4325688 4686162 6248216 7029243 9372324 14058486 18744648 28116972 56233944