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64552960 = 2165197
BaseRepresentation
bin1111011001000…
…0000000000000
311111110122000101
43312100000000
5113011143320
610223332144
71412456023
oct366200000
9144418011
1064552960
113349065a
1219751054
13104b2424
1488051ba
155a01c0a
hex3d90000

64552960 has 68 divisors (see below), whose sum is σ = 155712348. Its totient is φ = 25690112.

The previous prime is 64552931. The next prime is 64552963. The reversal of 64552960 is 6925546.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 16777216 = 6912^2 + 4096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64552963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327582 + ... + 327778.

Almost surely, 264552960 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 64552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77856174).

64552960 is an abundant number, since it is smaller than the sum of its proper divisors (91159388).

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

64552960 is an frugal number, since it uses more digits than its factorization.

64552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 64552960 is about 8034.4856711553. The cubic root of 64552960 is about 401.1486980741.

The spelling of 64552960 in words is "sixty-four million, five hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 512 640 788 985 1024 1280 1576 1970 2048 2560 3152 3940 4096 5120 6304 7880 8192 10240 12608 15760 16384 20480 25216 31520 32768 40960 50432 63040 65536 81920 100864 126080 163840 201728 252160 327680 403456 504320 806912 1008640 1613824 2017280 3227648 4034560 6455296 8069120 12910592 16138240 32276480 64552960