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56948540 = 22511379683
BaseRepresentation
bin1101100100111…
…1011100111100
310222011021201012
43121033130330
5104034323130
65352334352
71261024505
oct331173474
9128137635
1056948540
112a167310
12170a43b8
13ba4c07c
1477c5bac
154eed995
hex364f73c

56948540 has 48 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 20623680.

The previous prime is 56948533. The next prime is 56948543. The reversal of 56948540 is 4584965.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56948543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83039 + ... + 83721.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 256948540 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 56948540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

56948540 is an abundant number, since it is smaller than the sum of its proper divisors (74051140).

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

56948540 is a wasteful number, since it uses less digits than its factorization.

56948540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 56948540 is about 7546.4256439721. The cubic root of 56948540 is about 384.7342631297.

The spelling of 56948540 in words is "fifty-six million, nine hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 683 758 1366 1516 1895 2732 3415 3790 4169 6830 7513 7580 8338 13660 15026 16676 20845 30052 37565 41690 75130 83380 150260 258857 517714 1035428 1294285 2588570 2847427 5177140 5694854 11389708 14237135 28474270 56948540