Search a number
-
+
64625904 = 2433724371
BaseRepresentation
bin1111011010000…
…1110011110000
311111121100002000
43312201303300
5113021012104
610225054000
71413211500
oct366416360
9144540060
1064625904
1133530442
1219787300
13105096a5
148823a00
155a18639
hex3da1cf0

64625904 has 240 divisors, whose sum is σ = 223914240. Its totient is φ = 17781120.

The previous prime is 64625903. The next prime is 64625923. The reversal of 64625904 is 40952646.

64625904 is a `hidden beast` number, since 6 + 4 + 62 + 590 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64625903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910189 + ... + 910259.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 264625904 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 64625904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

64625904 is an abundant number, since it is smaller than the sum of its proper divisors (159288336).

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

64625904 is a wasteful number, since it uses less digits than its factorization.

64625904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 64625904 is about 8039.0238213355. The cubic root of 64625904 is about 401.2997387900.

The spelling of 64625904 in words is "sixty-four million, six hundred twenty-five thousand, nine hundred four".