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56383488 = 2113271923
BaseRepresentation
bin1101011100010…
…1100000000000
310221002120121100
43113011200000
5103413232423
65332254400
71253152230
oct327054000
9127076540
1056383488
1129910827
1216a71400
13b8b1b15
1476b9cc0
154e3b343
hex35c5800

56383488 has 288 divisors, whose sum is σ = 204422400. Its totient is φ = 14598144.

The previous prime is 56383429. The next prime is 56383489. The reversal of 56383488 is 88438365.

56383488 is a `hidden beast` number, since 5 + 638 + 3 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×563834882 = 6358195438092288, which contains 22 as substring.

Its product of digits (552960) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56383489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451445 + ... + 2451467.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 256383488 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 56383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

56383488 is an abundant number, since it is smaller than the sum of its proper divisors (148038912).

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

56383488 is a wasteful number, since it uses less digits than its factorization.

56383488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 56383488 is about 7508.8939265380. The cubic root of 56383488 is about 383.4575674622.

The spelling of 56383488 in words is "fifty-six million, three hundred eighty-three thousand, four hundred eighty-eight".