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56119968 = 2532194861
BaseRepresentation
bin1101011000010…
…1001010100000
310220121012010100
43112011022200
5103331314333
65322502400
71251004032
oct326051240
9126535110
1056119968
1129750843
1216964a00
13b81bba8
14764bc52
154dd8213
hex35852a0

56119968 has 36 divisors (see below), whose sum is σ = 159591978. Its totient is φ = 18706560.

The previous prime is 56119967. The next prime is 56119979. The reversal of 56119968 is 86991165.

It can be written as a sum of positive squares in only one way, i.e., 55175184 + 944784 = 7428^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56119967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97143 + ... + 97718.

Almost surely, 256119968 is an apocalyptic number.

It is an amenable number.

56119968 is an abundant number, since it is smaller than the sum of its proper divisors (103472010).

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

56119968 is a wasteful number, since it uses less digits than its factorization.

56119968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194877 (or 194866 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 56119968 is about 7491.3261843281. The cubic root of 56119968 is about 382.8592447031.

The spelling of 56119968 in words is "fifty-six million, one hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 194861 389722 584583 779444 1169166 1558888 1753749 2338332 3117776 3507498 4676664 6235552 7014996 9353328 14029992 18706656 28059984 56119968