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64516096 = 21219829
BaseRepresentation
bin1111011000011…
…1000000000000
311111101202110001
43312013000000
5113004003341
610222445344
71412243401
oct366070000
9144352401
1064516096
1133465997
1219733854
131049b708
1487d59a8
1559e5d31
hex3d87000

64516096 has 52 divisors (see below), whose sum is σ = 135970600. Its totient is φ = 30523392.

The previous prime is 64516091. The next prime is 64516099. The reversal of 64516096 is 69061546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64516091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77410 + ... + 78238.

Almost surely, 264516096 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 64516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67985300).

64516096 is an abundant number, since it is smaller than the sum of its proper divisors (71454504).

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

64516096 is an equidigital number, since it uses as much as digits as its factorization.

64516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 64516096 is about 8032.1912327832. The cubic root of 64516096 is about 401.0723227410.

The spelling of 64516096 in words is "sixty-four million, five hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 829 1024 1216 1658 2048 2432 3316 4096 4864 6632 9728 13264 15751 19456 26528 31502 38912 53056 63004 77824 106112 126008 212224 252016 424448 504032 848896 1008064 1697792 2016128 3395584 4032256 8064512 16129024 32258048 64516096