Search a number
-
+
57034592 = 2517591777
BaseRepresentation
bin1101100110010…
…0011101100000
310222022122202022
43121210131200
5104100101332
65354241012
71261533416
oct331443540
9128278668
1057034592
112a215a2a
1217126168
13ba7c2a4
1478092b6
155019212
hex3664760

57034592 has 48 divisors (see below), whose sum is σ = 120975120. Its totient is φ = 26370048.

The previous prime is 57034589. The next prime is 57034597. The reversal of 57034592 is 29543075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57034597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31208 + ... + 32984.

It is an arithmetic number, because the mean of its divisors is an integer number (2520315).

Almost surely, 257034592 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 57034592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60487560).

57034592 is an abundant number, since it is smaller than the sum of its proper divisors (63940528).

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

57034592 is a wasteful number, since it uses less digits than its factorization.

57034592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 57034592 is about 7552.1249989655. The cubic root of 57034592 is about 384.9279496362.

The spelling of 57034592 in words is "fifty-seven million, thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 59 68 118 136 236 272 472 544 944 1003 1777 1888 2006 3554 4012 7108 8024 14216 16048 28432 30209 32096 56864 60418 104843 120836 209686 241672 419372 483344 838744 966688 1677488 1782331 3354976 3564662 7129324 14258648 28517296 57034592