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56775040 = 2757192329
BaseRepresentation
bin1101100010010…
…1000110000000
310221211110201021
43120211012000
5104013300130
65344515224
71256402620
oct330450600
9127743637
1056775040
112a058a23
121701bb14
13b9bb0ca
14777c880
154eb737a
hex3625180

56775040 has 256 divisors, whose sum is σ = 176256000. Its totient is φ = 17031168.

The previous prime is 56775023. The next prime is 56775049. The reversal of 56775040 is 4057765.

It is a junction number, because it is equal to n+sod(n) for n = 56774987 and 56775005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56775049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957746 + ... + 1957774.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 256775040 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 56775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

56775040 is an abundant number, since it is smaller than the sum of its proper divisors (119480960).

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

56775040 is a wasteful number, since it uses less digits than its factorization.

56775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 56775040 is about 7534.9213665439. The cubic root of 56775040 is about 384.3431539042.

The spelling of 56775040 in words is "fifty-six million, seven hundred seventy-five thousand, forty".