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56020032 = 2633171907
BaseRepresentation
bin1101010110110…
…0110001000000
310220102010001000
43111230301000
5103320120112
65320412000
71250106465
oct325546100
9126363030
1056020032
1129692752
1216917000
13b7b5563
14762366c
154db87dc
hex356cc40

56020032 has 112 divisors (see below), whose sum is σ = 174467520. Its totient is φ = 17565696.

The previous prime is 56020001. The next prime is 56020039. The reversal of 56020032 is 23002065.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56019987 and 56020014.

It is not an unprimeable number, because it can be changed into a prime (56020039) 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, 28423 + ... + 30329.

Almost surely, 256020032 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 56020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87233760).

56020032 is an abundant number, since it is smaller than the sum of its proper divisors (118447488).

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

56020032 is a wasteful number, since it uses less digits than its factorization.

56020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 56020032 is about 7484.6530981736. The cubic root of 56020032 is about 382.6318499702.

Adding to 56020032 its reverse (23002065), we get a palindrome (79022097).

The spelling of 56020032 in words is "fifty-six million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 1907 2448 3264 3672 3814 4896 5721 7344 7628 9792 11442 14688 15256 17163 22884 29376 30512 32419 34326 45768 51489 61024 64838 68652 91536 97257 102978 122048 129676 137304 183072 194514 205956 259352 274608 291771 366144 389028 411912 518704 549216 583542 778056 823824 875313 1037408 1098432 1167084 1556112 1647648 1750626 2074816 2334168 3112224 3295296 3501252 4668336 6224448 7002504 9336672 14005008 18673344 28010016 56020032