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64189356 = 223711127547
BaseRepresentation
bin1111010011011…
…1001110101100
311110210011020120
43310313032230
5112413024411
610211444540
71406412660
oct364671654
9143704216
1064189356
1133262460
12195b6750
13103b5a8a
14874c8a0
15597e106
hex3d373ac

64189356 has 96 divisors (see below), whose sum is σ = 188547072. Its totient is φ = 16511040.

The previous prime is 64189351. The next prime is 64189369. The reversal of 64189356 is 65398146.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (64189351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117075 + ... + 117621.

It is an arithmetic number, because the mean of its divisors is an integer number (1964032).

Almost surely, 264189356 is an apocalyptic number.

64189356 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64189356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94273536).

64189356 is an abundant number, since it is smaller than the sum of its proper divisors (124357716).

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

64189356 is a wasteful number, since it uses less digits than its factorization.

64189356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 697 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 64189356 is about 8011.8260090943. The cubic root of 64189356 is about 400.3941032457.

It can be divided in two parts, 64 and 189356, that added together give a triangular number (189420 = T615).

The spelling of 64189356 in words is "sixty-four million, one hundred eighty-nine thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 127 132 154 231 254 308 381 462 508 547 762 889 924 1094 1397 1524 1641 1778 2188 2667 2794 3282 3556 3829 4191 5334 5588 6017 6564 7658 8382 9779 10668 11487 12034 15316 16764 18051 19558 22974 24068 29337 36102 39116 42119 45948 58674 69469 72204 84238 117348 126357 138938 168476 208407 252714 277876 416814 486283 505428 764159 833628 972566 1458849 1528318 1945132 2292477 2917698 3056636 4584954 5349113 5835396 9169908 10698226 16047339 21396452 32094678 64189356