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64942272 = 2632313637
BaseRepresentation
bin1111011110111…
…1000011000000
311112012102001100
43313233003000
5113111123042
610235534400
71416000033
oct367570300
9145172040
1064942272
11337270aa
12198ba400
13105ba6a5
1488a701a
155a7c24c
hex3def0c0

64942272 has 84 divisors (see below), whose sum is σ = 192202816. Its totient is φ = 20943360.

The previous prime is 64942211. The next prime is 64942279. The reversal of 64942272 is 27224946.

64942272 is a `hidden beast` number, since 649 + 4 + 2 + 2 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (64942279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16038 + ... + 19674.

Almost surely, 264942272 is an apocalyptic number.

64942272 is a gapful number since it is divisible by the number (62) 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 64942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96101408).

64942272 is an abundant number, since it is smaller than the sum of its proper divisors (127260544).

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

64942272 is a wasteful number, since it uses less digits than its factorization.

64942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3673 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 64942272 is about 8058.6768144653. The cubic root of 64942272 is about 401.9535106260.

The spelling of 64942272 in words is "sixty-four million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 3637 4464 5952 7274 8928 10911 14548 17856 21822 29096 32733 43644 58192 65466 87288 112747 116384 130932 174576 225494 232768 261864 338241 349152 450988 523728 676482 698304 901976 1014723 1047456 1352964 1803952 2029446 2094912 2705928 3607904 4058892 5411856 7215808 8117784 10823712 16235568 21647424 32471136 64942272