Search a number
-
+
64385952 = 2531275281
BaseRepresentation
bin1111010110011…
…1001110100000
311111011010220220
43311213032200
5112440322302
610220003040
71411162101
oct365471640
9144133826
1064385952
1133387134
1219690480
13104543c7
1487a03a8
1559bc4bc
hex3d673a0

64385952 has 48 divisors (see below), whose sum is σ = 170376192. Its totient is φ = 21288960.

The previous prime is 64385941. The next prime is 64385969. The reversal of 64385952 is 25958346.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9552 + ... + 14832.

It is an arithmetic number, because the mean of its divisors is an integer number (3549504).

Almost surely, 264385952 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 64385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85188096).

64385952 is an abundant number, since it is smaller than the sum of its proper divisors (105990240).

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

64385952 is a wasteful number, since it uses less digits than its factorization.

64385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5413 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 64385952 is about 8024.0857423136. The cubic root of 64385952 is about 400.8024557521.

The spelling of 64385952 in words is "sixty-four million, three hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 5281 6096 10562 12192 15843 21124 31686 42248 63372 84496 126744 168992 253488 506976 670687 1341374 2012061 2682748 4024122 5365496 8048244 10730992 16096488 21461984 32192976 64385952