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56126496 = 2531913061
BaseRepresentation
bin1101011000011…
…0110000100000
310220121112002010
43112012300200
5103332021441
65322552520
71251032046
oct326066040
9126545063
1056126496
1129755738
1216968740
13b821b5a
147650396
154dda116
hex3586c20

56126496 has 48 divisors (see below), whose sum is σ = 148151808. Its totient is φ = 18604800.

The previous prime is 56126491. The next prime is 56126519. The reversal of 56126496 is 69462165.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (56126491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16806 + ... + 19866.

It is an arithmetic number, because the mean of its divisors is an integer number (3086496).

Almost surely, 256126496 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 56126496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74075904).

56126496 is an abundant number, since it is smaller than the sum of its proper divisors (92025312).

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

56126496 is a wasteful number, since it uses less digits than its factorization.

56126496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3257 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 56126496 is about 7491.7618755537. The cubic root of 56126496 is about 382.8740891416.

The spelling of 56126496 in words is "fifty-six million, one hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 3061 4584 6112 6122 9168 9183 12244 18336 18366 24488 36732 48976 73464 97952 146928 293856 584651 1169302 1753953 2338604 3507906 4677208 7015812 9354416 14031624 18708832 28063248 56126496