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51156580 = 22529193457
BaseRepresentation
bin1100001100100…
…1011001100100
310120021000122011
43003021121210
5101044002310
65024244004
71160552356
oct303113144
9116230564
1051156580
1126970772
1215170604
13a7a1987
146b190d6
15475778a
hex30c9664

51156580 has 48 divisors (see below), whose sum is σ = 111953520. Its totient is φ = 19611648.

The previous prime is 51156571. The next prime is 51156629. The reversal of 51156580 is 8565115.

It can be written as a sum of positive squares in 8 ways, for example, as 5476 + 51151104 = 74^2 + 7152^2 .

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, 111712 + ... + 112168.

It is an arithmetic number, because the mean of its divisors is an integer number (2332365).

Almost surely, 251156580 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 51156580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55976760).

51156580 is an abundant number, since it is smaller than the sum of its proper divisors (60796940).

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

51156580 is a wasteful number, since it uses less digits than its factorization.

51156580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The square root of 51156580 is about 7152.3828197322. The cubic root of 51156580 is about 371.2221094051. Note that the first 3 decimals are identical.

The spelling of 51156580 in words is "fifty-one million, one hundred fifty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 193 290 386 457 580 772 914 965 1828 1930 2285 3860 4570 5597 9140 11194 13253 22388 26506 27985 53012 55970 66265 88201 111940 132530 176402 265060 352804 441005 882010 1764020 2557829 5115658 10231316 12789145 25578290 51156580