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57572020 = 225111012591
BaseRepresentation
bin1101101110011…
…1101010110100
311000022221222001
43123213222310
5104214301040
65413545044
71266232312
oct333475264
9130287861
1057572020
112a552790
1217345184
13bc09aac
1479090b2
1550c359a
hex36e7ab4

57572020 has 48 divisors (see below), whose sum is σ = 133249536. Its totient is φ = 20720000.

The previous prime is 57572003. The next prime is 57572027. The reversal of 57572020 is 2027575.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57572020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57572027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20925 + ... + 23515.

It is an arithmetic number, because the mean of its divisors is an integer number (2776032).

Almost surely, 257572020 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 57572020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768).

57572020 is an abundant number, since it is smaller than the sum of its proper divisors (75677516).

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

57572020 is a wasteful number, since it uses less digits than its factorization.

57572020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 57572020 is about 7587.6228161395. The cubic root of 57572020 is about 386.1332103970.

Adding to 57572020 its reverse (2027575), we get a palindrome (59599595).

It can be divided in two parts, 5757 and 2020, that added together give a palindrome (7777).

The spelling of 57572020 in words is "fifty-seven million, five hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2591 4444 5182 5555 10364 11110 12955 22220 25910 28501 51820 57002 114004 142505 261691 285010 523382 570020 1046764 1308455 2616910 2878601 5233820 5757202 11514404 14393005 28786010 57572020