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64378152 = 233499349
BaseRepresentation
bin1111010110010…
…1010100101000
311111010202020000
43311211110220
5112440100102
610215503000
71411130256
oct365452450
9144122200
1064378152
1133381293
1219687a60
13104509a7
14879b5d6
1559ba01c
hex3d65528

64378152 has 40 divisors (see below), whose sum is σ = 180320250. Its totient is φ = 21459168.

The previous prime is 64378151. The next prime is 64378157. The reversal of 64378152 is 25187346.

64378152 is a `hidden beast` number, since 643 + 7 + 8 + 1 + 5 + 2 = 666.

64378152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43639236 + 20738916 = 6606^2 + 4554^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64378151) 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 9 ways as a sum of consecutive naturals, for example, 49027 + ... + 50322.

Almost surely, 264378152 is an apocalyptic number.

It is an amenable number.

64378152 is an abundant number, since it is smaller than the sum of its proper divisors (115942098).

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

64378152 is a wasteful number, since it uses less digits than its factorization.

64378152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99367 (or 99354 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 64378152 is about 8023.5996909118. The cubic root of 64378152 is about 400.7862701023.

The spelling of 64378152 in words is "sixty-four million, three hundred seventy-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 99349 198698 298047 397396 596094 794792 894141 1192188 1788282 2384376 2682423 3576564 5364846 7153128 8047269 10729692 16094538 21459384 32189076 64378152