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55468644 = 223711173347
BaseRepresentation
bin1101001110011…
…0001001100100
310212101002200020
43103212021210
5103144444034
65300515140
71242322110
oct323461144
9125332606
1055468644
1129346460
12166abab0
13b6515aa
14751c740
154d0a249
hex34e6264

55468644 has 96 divisors (see below), whose sum is σ = 162763776. Its totient is φ = 14282880.

The previous prime is 55468639. The next prime is 55468669. The reversal of 55468644 is 44686455.

55468644 = T1 + T2 + ... + T692.

55468644 is a nontrivial binomial coefficient, being equal to C(694, 3).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 55468596 and 55468605.

It is an unprimeable number.

It is the 692-nd tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159679 + ... + 160025.

It is an arithmetic number, because the mean of its divisors is an integer number (1695456).

Almost surely, 255468644 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 55468644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81381888).

55468644 is an abundant number, since it is smaller than the sum of its proper divisors (107295132).

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

55468644 is a wasteful number, since it uses less digits than its factorization.

55468644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 55468644 is about 7447.7274386218. The cubic root of 55468644 is about 381.3723325424.

The spelling of 55468644 in words is "fifty-five million, four hundred sixty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 173 231 308 346 347 462 519 692 694 924 1038 1041 1211 1388 1903 2076 2082 2422 2429 3633 3806 3817 4164 4844 4858 5709 7266 7287 7612 7634 9716 11418 11451 13321 14532 14574 15268 22836 22902 26642 26719 29148 39963 45804 53284 53438 60031 79926 80157 106876 120062 159852 160314 180093 240124 320628 360186 420217 660341 720372 840434 1260651 1320682 1680868 1981023 2521302 2641364 3962046 4622387 5042604 7924092 9244774 13867161 18489548 27734322 55468644