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64468480 = 29525183
BaseRepresentation
bin1111010111101…
…1011000000000
311111022100010111
43311323120000
5113000442410
610221441104
71411654516
oct365733000
9144270114
1064468480
113343313a
1219710194
1310482b3b
1487c24b6
1559d6b8a
hex3d7b600

64468480 has 40 divisors (see below), whose sum is σ = 154579392. Its totient is φ = 25786368.

The previous prime is 64468477. The next prime is 64468489. The reversal of 64468480 is 8486446.

64468480 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64468489) 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, 10032 + ... + 15151.

Almost surely, 264468480 is an apocalyptic number.

It is an amenable number.

64468480 is an abundant number, since it is smaller than the sum of its proper divisors (90110912).

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

64468480 is an equidigital number, since it uses as much as digits as its factorization.

64468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25206 (or 25190 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 64468480 is about 8029.2266128189. The cubic root of 64468480 is about 400.9736281975.

The spelling of 64468480 in words is "sixty-four million, four hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 25183 50366 100732 125915 201464 251830 402928 503660 805856 1007320 1611712 2014640 3223424 4029280 6446848 8058560 12893696 16117120 32234240 64468480