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57080832 = 2103171093
BaseRepresentation
bin1101100110111…
…1110000000000
310222102000011220
43121233300000
5104103041312
65355235040
71262115264
oct331576000
9128360156
1057080832
112a247746
1217148a80
13ba97353
14781c0a4
155027c8c
hex366fc00

57080832 has 88 divisors (see below), whose sum is σ = 161238096. Its totient is φ = 17891328.

The previous prime is 57080809. The next prime is 57080833. The reversal of 57080832 is 23808075.

It is a junction number, because it is equal to n+sod(n) for n = 57080793 and 57080802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57080833) 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, 51678 + ... + 52770.

Almost surely, 257080832 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 57080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619048).

57080832 is an abundant number, since it is smaller than the sum of its proper divisors (104157264).

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

57080832 is a wasteful number, since it uses less digits than its factorization.

57080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 57080832 is about 7555.1857687287. The cubic root of 57080832 is about 385.0319465254.

The spelling of 57080832 in words is "fifty-seven million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1093 1536 1632 2176 2186 3072 3264 3279 4352 4372 6528 6558 8704 8744 13056 13116 17408 17488 18581 26112 26232 34976 37162 52224 52464 55743 69952 74324 104928 111486 139904 148648 209856 222972 279808 297296 419712 445944 559616 594592 839424 891888 1119232 1189184 1678848 1783776 2378368 3357696 3567552 4756736 7135104 9513472 14270208 19026944 28540416 57080832