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56322864 = 2434133343
BaseRepresentation
bin1101011011011…
…0101100110000
310220222111110000
43112312230300
5103404312424
65331110000
71252510413
oct326665460
9126874400
1056322864
112987a224
1216a42300
13b890350
1476a1b7a
154e283c9
hex35b6b30

56322864 has 100 divisors (see below), whose sum is σ = 175606816. Its totient is φ = 17324928.

The previous prime is 56322841. The next prime is 56322881. The reversal of 56322864 is 46822365.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15177 + ... + 18519.

Almost surely, 256322864 is an apocalyptic number.

56322864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56322864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87803408).

56322864 is an abundant number, since it is smaller than the sum of its proper divisors (119283952).

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

56322864 is a wasteful number, since it uses less digits than its factorization.

56322864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3361 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 56322864 is about 7504.8560279328. The cubic root of 56322864 is about 383.3200859106.

The spelling of 56322864 in words is "fifty-six million, three hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 3343 4212 5616 6686 8424 10029 13372 16848 20058 26744 30087 40116 43459 53488 60174 80232 86918 90261 120348 130377 160464 173836 180522 240696 260754 270783 347672 361044 391131 481392 521508 541566 695344 722088 782262 1043016 1083132 1173393 1444176 1564524 2086032 2166264 2346786 3129048 3520179 4332528 4693572 6258096 7040358 9387144 14080716 18774288 28161432 56322864