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56428008 = 23372133691
BaseRepresentation
bin1101011101000…
…0010111101000
310221011211200020
43113100113220
5103421144013
65333240440
71253426100
oct327202750
9127154606
1056428008
112994121a
1216a93120
13b8c9170
1476cc200
154e49623
hex35d05e8

56428008 has 96 divisors (see below), whose sum is σ = 176772960. Its totient is φ = 14878080.

The previous prime is 56428007. The next prime is 56428033. The reversal of 56428008 is 80082465.

56428008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56428008.

It is not an unprimeable number, because it can be changed into a prime (56428007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13443 + ... + 17133.

It is an arithmetic number, because the mean of its divisors is an integer number (1841385).

Almost surely, 256428008 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 56428008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88386480).

56428008 is an abundant number, since it is smaller than the sum of its proper divisors (120344952).

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

56428008 is a wasteful number, since it uses less digits than its factorization.

56428008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 56428008 is about 7511.8578261306. The cubic root of 56428008 is about 383.5584660307.

The spelling of 56428008 in words is "fifty-six million, four hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3691 3822 5096 7382 7644 11073 14764 15288 22146 25837 29528 44292 47983 51674 77511 88584 95966 103348 143949 155022 180859 191932 206696 287898 310044 335881 361718 383864 542577 575796 620088 671762 723436 1007643 1085154 1151592 1343524 1446872 2015286 2170308 2351167 2687048 4030572 4340616 4702334 7053501 8061144 9404668 14107002 18809336 28214004 56428008