Search a number
-
+
64613376 = 210341941
BaseRepresentation
bin1111011001111…
…0110000000000
311111120200220000
43312132300000
5113020112001
610224520000
71413130122
oct366366000
9144520800
1064613376
1133521a93
1219780000
1310503a89
14881d212
155a14a86
hex3d9ec00

64613376 has 220 divisors, whose sum is σ = 208057080. Its totient is φ = 19906560.

The previous prime is 64613327. The next prime is 64613387. The reversal of 64613376 is 67331646.

It is a happy number.

64613376 is a `hidden beast` number, since 6 + 4 + 613 + 37 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64613376.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575916 + ... + 1575956.

It is an arithmetic number, because the mean of its divisors is an integer number (945714).

Almost surely, 264613376 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 64613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104028540).

64613376 is an abundant number, since it is smaller than the sum of its proper divisors (143443704).

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

64613376 is a wasteful number, since it uses less digits than its factorization.

64613376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 64613376 is about 8038.2445844848. The cubic root of 64613376 is about 401.2738059070.

The spelling of 64613376 in words is "sixty-four million, six hundred thirteen thousand, three hundred seventy-six".