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57137696 = 2571123189
BaseRepresentation
bin1101100111110…
…1101000100000
310222111220011222
43121331220200
5104111401241
65400354212
71262443130
oct331755040
9128456158
1057137696
112a286440
1217175968
13bab71b5
147834ac0
155039a4b
hex367da20

57137696 has 48 divisors (see below), whose sum is σ = 140253120. Its totient is φ = 22260480.

The previous prime is 57137687. The next prime is 57137701. The reversal of 57137696 is 69673175.

57137696 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 (44).

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 7 ways as a sum of consecutive naturals, for example, 9131 + ... + 14058.

It is an arithmetic number, because the mean of its divisors is an integer number (2921940).

Almost surely, 257137696 is an apocalyptic number.

57137696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57137696 is an abundant number, since it is smaller than the sum of its proper divisors (83115424).

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

57137696 is a wasteful number, since it uses less digits than its factorization.

57137696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23217 (or 23209 counting only the distinct ones).

The product of its digits is 238140, while the sum is 44.

The square root of 57137696 is about 7558.9480749639. The cubic root of 57137696 is about 385.1597605360.

The spelling of 57137696 in words is "fifty-seven million, one hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 23189 46378 92756 162323 185512 255079 324646 371024 510158 649292 742048 1020316 1298584 1785553 2040632 2597168 3571106 4081264 5194336 7142212 8162528 14284424 28568848 57137696