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64153376 = 257172991
BaseRepresentation
bin1111010010111…
…0011100100000
311110201022212222
43310232130200
5112410402001
610211010212
71406203040
oct364563440
9143638788
1064153376
1133238421
1219599968
13103a25a1
14873d720
15597361b
hex3d2e720

64153376 has 72 divisors (see below), whose sum is σ = 153490176. Its totient is φ = 25850880.

The previous prime is 64153363. The next prime is 64153379. The reversal of 64153376 is 67335146.

64153376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64153379) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 64241 + ... + 65231.

It is an arithmetic number, because the mean of its divisors is an integer number (2131808).

Almost surely, 264153376 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 64153376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76745088).

64153376 is an abundant number, since it is smaller than the sum of its proper divisors (89336800).

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

64153376 is a wasteful number, since it uses less digits than its factorization.

64153376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1017 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 64153376 is about 8009.5802636593. The cubic root of 64153376 is about 400.3192784188.

The spelling of 64153376 in words is "sixty-four million, one hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 952 991 1156 1904 1982 2023 2312 3808 3964 4046 4624 6937 7928 8092 9248 13874 15856 16184 16847 27748 31712 32368 33694 55496 64736 67388 110992 117929 134776 221984 235858 269552 286399 471716 539104 572798 943432 1145596 1886864 2004793 2291192 3773728 4009586 4582384 8019172 9164768 16038344 32076688 64153376