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57851040 = 25351373127
BaseRepresentation
bin1101110010101…
…1110010100000
311000212010201010
43130223302200
5104302213130
65423540520
71301503632
oct334536240
9130763633
1057851040
112a723385
121745a740
13bca6ab0
14797ca52
15512b0b0
hex372bca0

57851040 has 192 divisors, whose sum is σ = 200503296. Its totient is φ = 13934592.

The previous prime is 57851021. The next prime is 57851047. The reversal of 57851040 is 4015875.

57851040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 57850989 and 57851007.

It is not an unprimeable number, because it can be changed into a prime (57851047) by changing a digit.

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, 455457 + ... + 455583.

It is an arithmetic number, because the mean of its divisors is an integer number (1044288).

Almost surely, 257851040 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 57851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100251648).

57851040 is an abundant number, since it is smaller than the sum of its proper divisors (142652256).

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

57851040 is a wasteful number, since it uses less digits than its factorization.

57851040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 57851040 is about 7605.9871154243. The cubic root of 57851040 is about 386.7559973286.

The spelling of 57851040 in words is "fifty-seven million, eight hundred fifty-one thousand, forty".