Search a number
-
+
57076096 = 277115791
BaseRepresentation
bin1101100110111…
…0100110000000
310222101202200111
43121232212000
5104102413341
65355201104
71262065420
oct331564600
9128352614
1057076096
112a244130
1217146194
13ba9514c
14781a480
155026681
hex366e980

57076096 has 64 divisors (see below), whose sum is σ = 141788160. Its totient is φ = 22233600.

The previous prime is 57076081. The next prime is 57076099. The reversal of 57076096 is 69067075.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57076099) 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, 6961 + ... + 12751.

It is an arithmetic number, because the mean of its divisors is an integer number (2215440).

Almost surely, 257076096 is an apocalyptic number.

57076096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70894080).

57076096 is an abundant number, since it is smaller than the sum of its proper divisors (84712064).

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

57076096 is a wasteful number, since it uses less digits than its factorization.

57076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 57076096 is about 7554.8723351225. The cubic root of 57076096 is about 385.0212975231.

The spelling of 57076096 in words is "fifty-seven million, seventy-six thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 5791 9856 11582 23164 40537 46328 63701 81074 92656 127402 162148 185312 254804 324296 370624 445907 509608 648592 741248 891814 1019216 1297184 1783628 2038432 2594368 3567256 4076864 5188736 7134512 8153728 14269024 28538048 57076096