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64268596 = 2273139337
BaseRepresentation
bin1111010100101…
…0100100110100
311110221011221101
43311022210310
5112423043341
610213255444
71410163000
oct365124464
9143834841
1064268596
1133306a47
1219634584
1310412b72
14876d700
155997831
hex3d4a934

64268596 has 48 divisors (see below), whose sum is σ = 132496000. Its totient is φ = 27264384.

The previous prime is 64268579. The next prime is 64268609. The reversal of 64268596 is 69586246.

64268596 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 2×642685962 = 8260904863622432, which contains 22 as substring.

It is a congruent number.

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, 190540 + ... + 190876.

Almost surely, 264268596 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 64268596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66248000).

64268596 is an abundant number, since it is smaller than the sum of its proper divisors (68227404).

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

64268596 is a wasteful number, since it uses less digits than its factorization.

64268596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 64268596 is about 8016.7696736279. The cubic root of 64268596 is about 400.5587940096.

The spelling of 64268596 in words is "sixty-four million, two hundred sixty-eight thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 139 196 278 337 343 556 674 686 973 1348 1372 1946 2359 3892 4718 6811 9436 13622 16513 27244 33026 46843 47677 66052 93686 95354 115591 187372 190708 231182 327901 462364 655802 1311604 2295307 4590614 9181228 16067149 32134298 64268596