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56396240 = 2454753283
BaseRepresentation
bin1101011100100…
…0100111010000
310221010020002122
43113020213100
5103414134430
65332433412
71253234345
oct327104720
9127106078
1056396240
112991a36a
1216a78868
13b8b7874
1476c07cc
154e3eee5
hex35c89d0

56396240 has 80 divisors (see below), whose sum is σ = 136919808. Its totient is φ = 21585408.

The previous prime is 56396233. The next prime is 56396243. The reversal of 56396240 is 4269365.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×563962402 = 6361071772275200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56396240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56396243) 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, 199139 + ... + 199421.

Almost surely, 256396240 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 56396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68459904).

56396240 is an abundant number, since it is smaller than the sum of its proper divisors (80523568).

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

56396240 is a wasteful number, since it uses less digits than its factorization.

56396240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 56396240 is about 7509.7430049237. The cubic root of 56396240 is about 383.4864735745.

The spelling of 56396240 in words is "fifty-six million, three hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 53 80 94 106 188 212 235 265 283 376 424 470 530 566 752 848 940 1060 1132 1415 1880 2120 2264 2491 2830 3760 4240 4528 4982 5660 9964 11320 12455 13301 14999 19928 22640 24910 26602 29998 39856 49820 53204 59996 66505 74995 99640 106408 119992 133010 149990 199280 212816 239984 266020 299980 532040 599960 704953 1064080 1199920 1409906 2819812 3524765 5639624 7049530 11279248 14099060 28198120 56396240