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55312960 = 265172853
BaseRepresentation
bin1101001100000…
…0001001000000
310212002012010011
43103000021000
5103130003320
65253314304
71241103163
oct323001100
9125065104
1055312960
112924a49a
1216635994
13b5c8781
1474bbada
154cc905a
hex34c0240

55312960 has 28 divisors (see below), whose sum is σ = 131714748. Its totient is φ = 22125056.

The previous prime is 55312927. The next prime is 55312963. The reversal of 55312960 is 6921355.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 46022656 = 3048^2 + 6784^2 .

It is not an unprimeable number, because it can be changed into a prime (55312963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86107 + ... + 86746.

Almost surely, 255312960 is an apocalyptic number.

It is an amenable number.

55312960 is an abundant number, since it is smaller than the sum of its proper divisors (76401788).

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

55312960 is a wasteful number, since it uses less digits than its factorization.

55312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172870 (or 172860 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 55312960 is about 7437.2683157192. The cubic root of 55312960 is about 381.0151986093.

The spelling of 55312960 in words is "fifty-five million, three hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 172853 345706 691412 864265 1382824 1728530 2765648 3457060 5531296 6914120 11062592 13828240 27656480 55312960