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56948368 = 2417239103
BaseRepresentation
bin1101100100111…
…1011010010000
310222011021110211
43121033122100
5104034321433
65352333504
71261024141
oct331173220
9128137424
1056948368
112a167174
12170a4294
13ba4bc79
1477c5ac8
154eed8cd
hex364f690

56948368 has 40 divisors (see below), whose sum is σ = 121920768. Its totient is φ = 25631232.

The previous prime is 56948357. The next prime is 56948371. The reversal of 56948368 is 86384965.

It is a happy number.

56948368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1705 + ... + 10807.

Almost surely, 256948368 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 56948368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960384).

56948368 is an abundant number, since it is smaller than the sum of its proper divisors (64972400).

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

56948368 is a wasteful number, since it uses less digits than its factorization.

56948368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9145 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The square root of 56948368 is about 7546.4142478398. The cubic root of 56948368 is about 384.7338757954.

The spelling of 56948368 in words is "fifty-six million, nine hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 9103 18206 36412 72824 145648 154751 209369 309502 418738 619004 837476 1238008 1674952 2476016 3349904 3559273 7118546 14237092 28474184 56948368