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57278464 = 2171923
BaseRepresentation
bin1101101010000…
…0000000000000
310222210001021121
43122200000000
5104130402324
65403402024
71263600415
oct332400000
9128701247
1057278464
112a372181
1217223314
13bb362a9
14787010c
1550665e4
hex36a0000

57278464 has 72 divisors (see below), whose sum is σ = 125828640. Its totient is φ = 25952256.

The previous prime is 57278461. The next prime is 57278471. The reversal of 57278464 is 46487275.

It is a self number, because there is not a number n which added to its sum of digits gives 57278464.

It is not an unprimeable number, because it can be changed into a prime (57278461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2490357 + ... + 2490379.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 257278464 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 57278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62914320).

57278464 is an abundant number, since it is smaller than the sum of its proper divisors (68550176).

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

57278464 is an frugal number, since it uses more digits than its factorization.

57278464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The square root of 57278464 is about 7568.2536955364. The cubic root of 57278464 is about 385.4758023596.

The spelling of 57278464 in words is "fifty-seven million, two hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 512 608 736 874 1024 1216 1472 1748 2048 2432 2944 3496 4096 4864 5888 6992 8192 9728 11776 13984 16384 19456 23552 27968 32768 38912 47104 55936 65536 77824 94208 111872 131072 155648 188416 223744 311296 376832 447488 622592 753664 894976 1245184 1507328 1789952 2490368 3014656 3579904 7159808 14319616 28639232 57278464