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64164492 = 223271012521
BaseRepresentation
bin1111010011000…
…1001010001100
311110201220010200
43310301022030
5112411230432
610211133500
71406250330
oct364611214
9143656120
1064164492
1133245807
12195a4290
13103a7672
1487437c0
155976a7c
hex3d3128c

64164492 has 72 divisors (see below), whose sum is σ = 187273632. Its totient is φ = 18144000.

The previous prime is 64164491. The next prime is 64164509. The reversal of 64164492 is 29446146.

64164492 is a `hidden beast` number, since 6 + 4 + 1 + 644 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64164491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24192 + ... + 26712.

Almost surely, 264164492 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 64164492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93636816).

64164492 is an abundant number, since it is smaller than the sum of its proper divisors (123109140).

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

64164492 is a wasteful number, since it uses less digits than its factorization.

64164492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2634 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 64164492 is about 8010.2741526118. The cubic root of 64164492 is about 400.3423984912.

The spelling of 64164492 in words is "sixty-four million, one hundred sixty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2521 2828 3636 4242 5042 6363 7563 8484 10084 12726 15126 17647 22689 25452 30252 35294 45378 52941 70588 90756 105882 158823 211764 254621 317646 509242 635292 763863 1018484 1527726 1782347 2291589 3055452 3564694 4583178 5347041 7129388 9166356 10694082 16041123 21388164 32082246 64164492