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56082468 = 22313477649
BaseRepresentation
bin1101010111110…
…0000000100100
310220112021200110
43111330000210
5103324114333
65322013020
71250456511
oct325740044
9126467613
1056082468
1129725652
1216947170
13b807ac0
14763c308
154dcc063
hex357c024

56082468 has 48 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 16886784.

The previous prime is 56082463. The next prime is 56082479. The reversal of 56082468 is 86428065.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56082461) 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, 3508 + ... + 11156.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 256082468 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 56082468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

56082468 is an abundant number, since it is smaller than the sum of its proper divisors (87859932).

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

56082468 is a wasteful number, since it uses less digits than its factorization.

56082468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 56082468 is about 7488.8228714532. The cubic root of 56082468 is about 382.7739487364.

It can be divided in two parts, 560 and 82468, that added together give a triangular number (83028 = T407).

The spelling of 56082468 in words is "fifty-six million, eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 7649 15298 22947 30596 45894 91788 99437 198874 298311 359503 397748 596622 719006 1078509 1193244 1438012 2157018 4314036 4673539 9347078 14020617 18694156 28041234 56082468