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57004192 = 2571731471
BaseRepresentation
bin1101100101110…
…1000010100000
310222021010001101
43121131002200
5104043113232
65353444144
71261345660
oct331350240
9128233041
1057004192
112a1a5103
1217110654
13ba6b4bb
1477dc1a0
1550101e7
hex365d0a0

57004192 has 48 divisors (see below), whose sum is σ = 129088512. Its totient is φ = 24272640.

The previous prime is 57004187. The next prime is 57004201. The reversal of 57004192 is 29140075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 57004192.

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, 38017 + ... + 39487.

It is an arithmetic number, because the mean of its divisors is an integer number (2689344).

Almost surely, 257004192 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 57004192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64544256).

57004192 is an abundant number, since it is smaller than the sum of its proper divisors (72084320).

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

57004192 is a wasteful number, since it uses less digits than its factorization.

57004192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 57004192 is about 7550.1120521486. The cubic root of 57004192 is about 384.8595473506.

The spelling of 57004192 in words is "fifty-seven million, four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 1211 1384 1471 2422 2768 2942 4844 5536 5884 9688 10297 11768 19376 20594 23536 38752 41188 47072 82376 164752 254483 329504 508966 1017932 1781381 2035864 3562762 4071728 7125524 8143456 14251048 28502096 57004192