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64095416 = 23711671553
BaseRepresentation
bin1111010010000…
…0010010111000
311110121101101022
43310200102320
5112402023131
610205442012
71405542050
oct364402270
9143541338
1064095416
11331a8920
1219570308
13103820a8
148726560
15596137b
hex3d204b8

64095416 has 64 divisors (see below), whose sum is σ = 152167680. Its totient is φ = 24583680.

The previous prime is 64095403. The next prime is 64095487. The reversal of 64095416 is 61459046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40496 + ... + 42048.

It is an arithmetic number, because the mean of its divisors is an integer number (2377620).

Almost surely, 264095416 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 64095416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083840).

64095416 is an abundant number, since it is smaller than the sum of its proper divisors (88072264).

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

64095416 is a wasteful number, since it uses less digits than its factorization.

64095416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 64095416 is about 8005.9612789471. The cubic root of 64095416 is about 400.1986846280.

The spelling of 64095416 in words is "sixty-four million, ninety-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 268 308 469 536 616 737 938 1474 1553 1876 2948 3106 3752 5159 5896 6212 10318 10871 12424 17083 20636 21742 34166 41272 43484 68332 86968 104051 119581 136664 208102 239162 416204 478324 728357 832408 956648 1144561 1456714 2289122 2913428 4578244 5826856 8011927 9156488 16023854 32047708 64095416