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57700096 = 28263857
BaseRepresentation
bin1101110000011…
…0111100000000
311000120110122121
43130012330000
5104232400341
65420414024
71300304566
oct334067400
9130513577
1057700096
112a62aa33
12173a7314
13bc5318c
14793da36
1550eb4d1
hex3706f00

57700096 has 36 divisors (see below), whose sum is σ = 115747632. Its totient is φ = 28706816.

The previous prime is 57700087. The next prime is 57700103. The reversal of 57700096 is 69000775.

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 3 ways as a sum of consecutive naturals, for example, 66900 + ... + 67756.

It is an arithmetic number, because the mean of its divisors is an integer number (3215212).

Almost surely, 257700096 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 57700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57873816).

57700096 is an abundant number, since it is smaller than the sum of its proper divisors (58047536).

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

57700096 is an equidigital number, since it uses as much as digits as its factorization.

57700096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 57700096 is about 7596.0579250029. The cubic root of 57700096 is about 386.4193318489.

The spelling of 57700096 in words is "fifty-seven million, seven hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 263 526 857 1052 1714 2104 3428 4208 6856 8416 13712 16832 27424 33664 54848 67328 109696 219392 225391 450782 901564 1803128 3606256 7212512 14425024 28850048 57700096