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64996512 = 25373112
BaseRepresentation
bin1111011111110…
…0010010100000
311112022011110020
43313330102200
5113114342022
610241033440
71416314130
oct367742240
9145264406
1064996512
1133763929
1219925880
1310609299
1488bcac0
155a8d35c
hex3dfc4a0

64996512 has 72 divisors (see below), whose sum is σ = 195618528. Its totient is φ = 18510720.

The previous prime is 64996501. The next prime is 64996513. The reversal of 64996512 is 21569946.

It is a happy number.

It is a super-2 number, since 2×649965122 = 8449093144332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (64996513) 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, 208837 + ... + 209147.

It is an arithmetic number, because the mean of its divisors is an integer number (2716924).

Almost surely, 264996512 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 64996512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97809264).

64996512 is an abundant number, since it is smaller than the sum of its proper divisors (130622016).

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

64996512 is an equidigital number, since it uses as much as digits as its factorization.

64996512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 323 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 64996512 is about 8062.0414288194. The cubic root of 64996512 is about 402.0653837859.

Multiplying 64996512 by its sum of digits (42), we get a square (2729853504 = 522482).

64996512 divided by its sum of digits (42) gives a square (1547536 = 12442).

The spelling of 64996512 in words is "sixty-four million, nine hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 311 336 622 672 933 1244 1866 2177 2488 3732 4354 4976 6531 7464 8708 9952 13062 14928 17416 26124 29856 34832 52248 69664 96721 104496 193442 208992 290163 386884 580326 677047 773768 1160652 1354094 1547536 2031141 2321304 2708188 3095072 4062282 4642608 5416376 8124564 9285216 10832752 16249128 21665504 32498256 64996512