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56152980 = 223351319421
BaseRepresentation
bin1101011000110…
…1001110010100
310220122212102000
43112031032110
5103333343410
65323315300
71251202212
oct326151624
9126585360
1056152980
1129773624
121697bb30
13b830c20
147659cb2
154de2dc0
hex358d394

56152980 has 192 divisors, whose sum is σ = 198508800. Its totient is φ = 13063680.

The previous prime is 56152979. The next prime is 56152981. The reversal of 56152980 is 8925165.

It is a happy number.

56152980 is a `hidden beast` number, since 56 + 1 + 529 + 80 = 666.

56152980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56152979) and next prime (56152981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56152981) 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 63 ways as a sum of consecutive naturals, for example, 133170 + ... + 133590.

It is an arithmetic number, because the mean of its divisors is an integer number (1033900).

Almost surely, 256152980 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 56152980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99254400).

56152980 is an abundant number, since it is smaller than the sum of its proper divisors (142355820).

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

56152980 is a wasteful number, since it uses less digits than its factorization.

56152980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56152980 is about 7493.5292085906. The cubic root of 56152980 is about 382.9343010060.

The spelling of 56152980 in words is "fifty-six million, one hundred fifty-two thousand, nine hundred eighty".