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56153376 = 2532194977
BaseRepresentation
bin1101011000110…
…1010100100000
310220122212221200
43112031110200
5103333402001
65323321200
71251203316
oct326152440
9126585850
1056153376
1129773954
1216980200
13b831166
14765a0b6
154de3086
hex358d520

56153376 has 36 divisors (see below), whose sum is σ = 159686982. Its totient is φ = 18717696.

The previous prime is 56153371. The next prime is 56153381. The reversal of 56153376 is 67335165.

It is a happy number.

56153376 is a `hidden beast` number, since 5 + 615 + 3 + 37 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56153371) and next prime (56153381).

It can be written as a sum of positive squares in only one way, i.e., 39992976 + 16160400 = 6324^2 + 4020^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56153376.

It is not an unprimeable number, because it can be changed into a prime (56153371) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 97201 + ... + 97776.

Almost surely, 256153376 is an apocalyptic number.

It is an amenable number.

56153376 is an abundant number, since it is smaller than the sum of its proper divisors (103533606).

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

56153376 is a wasteful number, since it uses less digits than its factorization.

56153376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194993 (or 194982 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 56153376 is about 7493.5556313408. Note that the first 3 decimals coincide. The cubic root of 56153376 is about 382.9352011756.

The spelling of 56153376 in words is "fifty-six million, one hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 194977 389954 584931 779908 1169862 1559816 1754793 2339724 3119632 3509586 4679448 6239264 7019172 9358896 14038344 18717792 28076688 56153376