Search a number
-
+
64978472 = 231333697
BaseRepresentation
bin1111011111011…
…1111000101000
311112021020201002
43313313320220
5113113302342
610240414132
71416210416
oct367677050
9145236632
1064978472
1133751319
1219917348
1310601000
1488b62b6
155a87d32
hex3df7e28

64978472 has 32 divisors (see below), whose sum is σ = 132018600. Its totient is φ = 29981952.

The previous prime is 64978447. The next prime is 64978493. The reversal of 64978472 is 27487946.

It can be written as a sum of positive squares in 4 ways, for example, as 111556 + 64866916 = 334^2 + 8054^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15728 + ... + 19424.

Almost surely, 264978472 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 64978472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66009300).

64978472 is an abundant number, since it is smaller than the sum of its proper divisors (67040128).

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

64978472 is a wasteful number, since it uses less digits than its factorization.

64978472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3712 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 64978472 is about 8060.9225278500. The cubic root of 64978472 is about 402.0281821451.

The spelling of 64978472 in words is "sixty-four million, nine hundred seventy-eight thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 2197 3697 4394 7394 8788 14788 17576 29576 48061 96122 192244 384488 624793 1249586 2499172 4998344 8122309 16244618 32489236 64978472