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64118416 = 2431257503
BaseRepresentation
bin1111010010010…
…1111010010000
311110122112221011
43310211322100
5112403242131
610210140304
71405666105
oct364457220
9143575834
1064118416
113321412a
1219581694
131038c6bb
148730aac
1559680b1
hex3d25e90

64118416 has 40 divisors (see below), whose sum is σ = 128991744. Its totient is φ = 30842880.

The previous prime is 64118399. The next prime is 64118437. The reversal of 64118416 is 61481146.

64118416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641184162 = 8222342540698112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 7 ways as a sum of consecutive naturals, for example, 127221 + ... + 127723.

Almost surely, 264118416 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 64118416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64495872).

64118416 is an abundant number, since it is smaller than the sum of its proper divisors (64873328).

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

64118416 is a wasteful number, since it uses less digits than its factorization.

64118416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 64118416 is about 8007.3975797384. The cubic root of 64118416 is about 400.2465480040.

The spelling of 64118416 in words is "sixty-four million, one hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 257 496 503 514 1006 1028 2012 2056 4024 4112 7967 8048 15593 15934 31186 31868 62372 63736 124744 127472 129271 249488 258542 517084 1034168 2068336 4007401 8014802 16029604 32059208 64118416