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56435232 = 2537137613
BaseRepresentation
bin1101011101001…
…0001000100000
310221012012120210
43113102020200
5103421411412
65333334120
71253456130
oct327221040
9127165523
1056435232
1129946697
1216a97340
13b8cc539
1476d0ac0
154e4b83c
hex35d2220

56435232 has 96 divisors (see below), whose sum is σ = 170819712. Its totient is φ = 15980544.

The previous prime is 56435231. The next prime is 56435233. The reversal of 56435232 is 23253465.

It is an interprime number because it is at equal distance from previous prime (56435231) and next prime (56435233).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56435232.

It is not an unprimeable number, because it can be changed into a prime (56435231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91758 + ... + 92370.

It is an arithmetic number, because the mean of its divisors is an integer number (1779372).

Almost surely, 256435232 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 56435232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85409856).

56435232 is an abundant number, since it is smaller than the sum of its proper divisors (114384480).

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

56435232 is a wasteful number, since it uses less digits than its factorization.

56435232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 56435232 is about 7512.3386505136. The cubic root of 56435232 is about 383.5748332464.

Adding to 56435232 its reverse (23253465), we get a palindrome (79688697).

The spelling of 56435232 in words is "fifty-six million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 613 672 822 959 1096 1226 1644 1839 1918 2192 2452 2877 3288 3678 3836 4291 4384 4904 5754 6576 7356 7672 8582 9808 11508 12873 13152 14712 15344 17164 19616 23016 25746 29424 30688 34328 46032 51492 58848 68656 83981 92064 102984 137312 167962 205968 251943 335924 411936 503886 587867 671848 1007772 1175734 1343696 1763601 2015544 2351468 2687392 3527202 4031088 4702936 7054404 8062176 9405872 14108808 18811744 28217616 56435232