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56029428 = 22337135701
BaseRepresentation
bin1101010110111…
…1000011110100
310220102120221000
43111233003310
5103320420203
65320523300
71250146050
oct325570364
9126376830
1056029428
1129699814
1216920530
13b7b9910
147626c60
154dbb4a3
hex356f0f4

56029428 has 96 divisors (see below), whose sum is σ = 178814720. Its totient is φ = 14774400.

The previous prime is 56029349. The next prime is 56029429. The reversal of 56029428 is 82492065.

It is a happy number.

56029428 is a `hidden beast` number, since 5 + 602 + 9 + 42 + 8 = 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 = 56029392 and 56029401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56029429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6978 + ... + 12678.

Almost surely, 256029428 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 56029428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89407360).

56029428 is an abundant number, since it is smaller than the sum of its proper divisors (122785292).

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

56029428 is a wasteful number, since it uses less digits than its factorization.

56029428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56029428 is about 7485.2807562576. The cubic root of 56029428 is about 382.6532411746.

The spelling of 56029428 in words is "fifty-six million, twenty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 5701 9828 11402 17103 22804 34206 39907 51309 68412 74113 79814 102618 119721 148226 153927 159628 205236 222339 239442 296452 307854 359163 444678 478884 518791 615708 667017 718326 889356 1037582 1077489 1334034 1436652 1556373 2001051 2075164 2154978 2668068 3112746 4002102 4309956 4669119 6225492 8004204 9338238 14007357 18676476 28014714 56029428