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64415104 = 271338711
BaseRepresentation
bin1111010110111…
…0010110000000
311111012121220121
43311232112000
5112442240404
610220350024
71411343065
oct365562600
9144177817
1064415104
11333a7026
12196a5314
1310464760
1487aac6c
1559c5e54
hex3d6e580

64415104 has 32 divisors (see below), whose sum is σ = 138201840. Its totient is φ = 29729280.

The previous prime is 64415093. The next prime is 64415107. The reversal of 64415104 is 40151446.

64415104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64415107) 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 3 ways as a sum of consecutive naturals, for example, 17692 + ... + 21019.

Almost surely, 264415104 is an apocalyptic number.

64415104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64415104 is an abundant number, since it is smaller than the sum of its proper divisors (73786736).

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

64415104 is a wasteful number, since it uses less digits than its factorization.

64415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38738 (or 38726 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 64415104 is about 8025.9020676806. The cubic root of 64415104 is about 400.8629370106.

The spelling of 64415104 in words is "sixty-four million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 38711 77422 154844 309688 503243 619376 1006486 1238752 2012972 2477504 4025944 4955008 8051888 16103776 32207552 64415104