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57750080 = 265251719
BaseRepresentation
bin1101110001001…
…1001001000000
311000200000012212
43130103021000
5104241000310
65421441252
71300603403
oct334231100
9130600185
1057750080
112a664543
1217410228
13bc6cb5b
147953d3a
15510b205
hex3713240

57750080 has 56 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 22976000.

The previous prime is 57750073. The next prime is 57750097. The reversal of 57750080 is 8005775.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79961 + ... + 80679.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 257750080 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 57750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

57750080 is an abundant number, since it is smaller than the sum of its proper divisors (80507200).

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

57750080 is a wasteful number, since it uses less digits than its factorization.

57750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 57750080 is about 7599.3473403971. The cubic root of 57750080 is about 386.5308811103.

The spelling of 57750080 in words is "fifty-seven million, seven hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 502 719 1004 1255 1438 2008 2510 2876 3595 4016 5020 5752 7190 8032 10040 11504 14380 16064 20080 23008 28760 40160 46016 57520 80320 115040 180469 230080 360938 721876 902345 1443752 1804690 2887504 3609380 5775008 7218760 11550016 14437520 28875040 57750080