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56857242 = 23132341773
BaseRepresentation
bin1101100011100…
…1001010011010
310221222122110210
43120321022122
5104023412432
65350351550
71260164361
oct330711232
9127878423
1056857242
112a104762
121705b5b6
13ba19650
1477a07d8
154ed18cc
hex363929a

56857242 has 64 divisors (see below), whose sum is σ = 131072256. Its totient is φ = 16304640.

The previous prime is 56857217. The next prime is 56857261. The reversal of 56857242 is 24275865.

56857242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56857242.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73168 + ... + 73940.

It is an arithmetic number, because the mean of its divisors is an integer number (2048004).

Almost surely, 256857242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56857242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65536128).

56857242 is an abundant number, since it is smaller than the sum of its proper divisors (74215014).

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

56857242 is a wasteful number, since it uses less digits than its factorization.

56857242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855.

The product of its digits is 134400, while the sum is 39.

The square root of 56857242 is about 7540.3741286491. The cubic root of 56857242 is about 384.5285554495.

The spelling of 56857242 in words is "fifty-six million, eight hundred fifty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 41 46 69 78 82 123 138 246 299 533 598 773 897 943 1066 1546 1599 1794 1886 2319 2829 3198 4638 5658 10049 12259 17779 20098 24518 30147 31693 35558 36777 53337 60294 63386 73554 95079 106674 190158 231127 412009 462254 693381 728939 824018 1236027 1386762 1457878 2186817 2472054 4373634 9476207 18952414 28428621 56857242