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56917296 = 2433359367
BaseRepresentation
bin1101100100011…
…1110100110000
310222002200212000
43121013310300
5104032323141
65351534000
71260534432
oct331076460
9128080760
1056917296
112a145897
121708a300
13ba3aa97
1477b8652
154ee45b6
hex3647d30

56917296 has 80 divisors (see below), whose sum is σ = 164275200. Its totient is φ = 18868032.

The previous prime is 56917291. The next prime is 56917319. The reversal of 56917296 is 69271965.

It is a happy number.

56917296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56917291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154905 + ... + 155271.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 256917296 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 56917296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

56917296 is an abundant number, since it is smaller than the sum of its proper divisors (107357904).

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

56917296 is a wasteful number, since it uses less digits than its factorization.

56917296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 56917296 is about 7544.3552408407. The cubic root of 56917296 is about 384.6638906126.

The spelling of 56917296 in words is "fifty-six million, nine hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 359 367 432 718 734 1077 1101 1436 1468 2154 2202 2872 2936 3231 3303 4308 4404 5744 5872 6462 6606 8616 8808 9693 9909 12924 13212 17232 17616 19386 19818 25848 26424 38772 39636 51696 52848 77544 79272 131753 155088 158544 263506 395259 527012 790518 1054024 1185777 1581036 2108048 2371554 3162072 3557331 4743108 6324144 7114662 9486216 14229324 18972432 28458648 56917296