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64411968 = 263379067
BaseRepresentation
bin1111010110110…
…1100101000000
311111012110121110
43311231211000
5112442140333
610220323320
71411330665
oct365554500
9144173543
1064411968
11333a4735
12196a3540
13104631ba
1487a9a6c
1559c5063
hex3d6d940

64411968 has 56 divisors (see below), whose sum is σ = 175048672. Its totient is φ = 20888064.

The previous prime is 64411961. The next prime is 64411969. The reversal of 64411968 is 86911446.

64411968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64411961) 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 7 ways as a sum of consecutive naturals, for example, 2571 + ... + 11637.

Almost surely, 264411968 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 64411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87524336).

64411968 is an abundant number, since it is smaller than the sum of its proper divisors (110636704).

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

64411968 is a wasteful number, since it uses less digits than its factorization.

64411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9109 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 64411968 is about 8025.7066978553. The cubic root of 64411968 is about 400.8564316700.

The spelling of 64411968 in words is "sixty-four million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 9067 18134 27201 36268 54402 72536 108804 145072 217608 290144 335479 435216 580288 670958 870432 1006437 1341916 1740864 2012874 2683832 4025748 5367664 8051496 10735328 16102992 21470656 32205984 64411968