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56947440 = 24351123753
BaseRepresentation
bin1101100100111…
…1001011110000
310222011020012110
43121033023300
5104034304230
65352325320
71261021344
oct331171360
9128136173
1056947440
112a166500
12170a3840
13ba4b714
1477c5624
154eed4b0
hex364f2f0

56947440 has 240 divisors, whose sum is σ = 203049504. Its totient is φ = 13178880.

The previous prime is 56947421. The next prime is 56947447. The reversal of 56947440 is 4474965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56947447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074454 + ... + 1074506.

Almost surely, 256947440 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 56947440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101524752).

56947440 is an abundant number, since it is smaller than the sum of its proper divisors (146102064).

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

56947440 is a wasteful number, since it uses less digits than its factorization.

56947440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56947440 is about 7546.3527614338. The cubic root of 56947440 is about 384.7317859786.

The spelling of 56947440 in words is "fifty-six million, nine hundred forty-seven thousand, four hundred forty".