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57378112 = 2611149547
BaseRepresentation
bin1101101011100…
…0010101000000
310222222002222021
43122320111000
5104142044422
65405451224
71264464061
oct332702500
9128862867
1057378112
112a430030
1217270b14
13bb6c75c
147898568
155085dc7
hex36b8540

57378112 has 56 divisors (see below), whose sum is σ = 125272800. Its totient is φ = 25858560.

The previous prime is 57378067. The next prime is 57378121. The reversal of 57378112 is 21187375.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104623 + ... + 105169.

Almost surely, 257378112 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 57378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62636400).

57378112 is an abundant number, since it is smaller than the sum of its proper divisors (67894688).

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

57378112 is a wasteful number, since it uses less digits than its factorization.

57378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its digits is 11760, while the sum is 34.

The square root of 57378112 is about 7574.8341235964. The cubic root of 57378112 is about 385.6992117435.

The spelling of 57378112 in words is "fifty-seven million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 149 176 298 352 547 596 704 1094 1192 1639 2188 2384 3278 4376 4768 6017 6556 8752 9536 12034 13112 17504 24068 26224 35008 48136 52448 81503 96272 104896 163006 192544 326012 385088 652024 896533 1304048 1793066 2608096 3586132 5216192 7172264 14344528 28689056 57378112