Search a number
-
+
57148590 = 23511811613
BaseRepresentation
bin1101101000000…
…0010010101110
310222112110010110
43122000102232
5104112223330
65400520450
71262516652
oct332002256
9128473113
1057148590
112a293644
1217180126
13babc145
147838a62
15503cdb0
hex36804ae

57148590 has 32 divisors (see below), whose sum is σ = 137357856. Its totient is φ = 15217280.

The previous prime is 57148573. The next prime is 57148627. The reversal of 57148590 is 9584175.

It is a super-2 number, since 2×571485902 = 6531922677976200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 34624 + ... + 36236.

It is an arithmetic number, because the mean of its divisors is an integer number (4292433).

Almost surely, 257148590 is an apocalyptic number.

57148590 is an abundant number, since it is smaller than the sum of its proper divisors (80209266).

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

57148590 is a wasteful number, since it uses less digits than its factorization.

57148590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 57148590 is about 7559.6686435319. The cubic root of 57148590 is about 385.1842374522.

The spelling of 57148590 in words is "fifty-seven million, one hundred forty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 1181 1613 2362 3226 3543 4839 5905 7086 8065 9678 11810 16130 17715 24195 35430 48390 1904953 3809906 5714859 9524765 11429718 19049530 28574295 57148590