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57756020 = 2257616763
BaseRepresentation
bin1101110001010…
…0100101110100
311000200022100212
43130110211310
5104241143040
65421524552
71300626620
oct334244564
9130608325
1057756020
112a668a53
1217413758
13bc7277a
147956180
15510cd65
hex3714974

57756020 has 48 divisors (see below), whose sum is σ = 140907648. Its totient is φ = 19474560.

The previous prime is 57756019. The next prime is 57756037. The reversal of 57756020 is 2065775.

It is a happy number.

57756020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5159 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (2935576).

Almost surely, 257756020 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 57756020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70453824).

57756020 is an abundant number, since it is smaller than the sum of its proper divisors (83151628).

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

57756020 is a wasteful number, since it uses less digits than its factorization.

57756020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6838 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 57756020 is about 7599.7381533840. The cubic root of 57756020 is about 386.5441331250.

The spelling of 57756020 in words is "fifty-seven million, seven hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 6763 8540 13526 27052 33815 47341 67630 94682 135260 189364 236705 412543 473410 825086 946820 1650172 2062715 2887801 4125430 5775602 8250860 11551204 14439005 28878010 57756020