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65444036 = 22741109523
BaseRepresentation
bin1111100110100…
…1100011000100
311120010220100012
43321221203010
5113223202121
610254405352
71423156640
oct371514304
9146126305
1065444036
1133a3a089
1219b00858
1310734ba8
148997c20
155b2ac5b
hex3e698c4

65444036 has 48 divisors (see below), whose sum is σ = 135569280. Its totient is φ = 27060480.

The previous prime is 65444017. The next prime is 65444047. The reversal of 65444036 is 63044456.

65444036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65443993 and 65444011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124871 + ... + 125393.

It is an arithmetic number, because the mean of its divisors is an integer number (2824360).

Almost surely, 265444036 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 65444036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67784640).

65444036 is an abundant number, since it is smaller than the sum of its proper divisors (70125244).

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

65444036 is a wasteful number, since it uses less digits than its factorization.

65444036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 65444036 is about 8089.7488218115. The cubic root of 65444036 is about 402.9860614562.

The spelling of 65444036 in words is "sixty-five million, four hundred forty-four thousand, thirty-six".

Divisors: 1 2 4 7 14 28 41 82 109 164 218 287 436 523 574 763 1046 1148 1526 2092 3052 3661 4469 7322 8938 14644 17876 21443 31283 42886 57007 62566 85772 114014 125132 150101 228028 300202 399049 600404 798098 1596196 2337287 4674574 9349148 16361009 32722018 65444036