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64135044 = 2233797517
BaseRepresentation
bin1111010010100…
…1111110000100
311110200101202000
43310221332010
5112404310134
610210345300
71406065431
oct364517604
9143611660
1064135044
1133225676
121958b230
131039713c
148736b88
15596ce99
hex3d29f84

64135044 has 48 divisors (see below), whose sum is σ = 168403200. Its totient is φ = 21104928.

The previous prime is 64135039. The next prime is 64135061. The reversal of 64135044 is 44053146.

It is a super-2 number, since 2×641350442 = 8226607737763872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64134999 and 64135017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4774 + ... + 12290.

It is an arithmetic number, because the mean of its divisors is an integer number (3508400).

Almost surely, 264135044 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 64135044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84201600).

64135044 is an abundant number, since it is smaller than the sum of its proper divisors (104268156).

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

64135044 is a wasteful number, since it uses less digits than its factorization.

64135044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64135044 is about 8008.4358023274. The cubic root of 64135044 is about 400.2811440155.

The spelling of 64135044 in words is "sixty-four million, one hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 7517 8532 15034 22551 30068 45102 67653 90204 135306 202959 270612 405918 593843 811836 1187686 1781529 2375372 3563058 5344587 7126116 10689174 16033761 21378348 32067522 64135044