Search a number
-
+
64193472 = 263472961
BaseRepresentation
bin1111010011100…
…0001111000000
311110210100220000
43310320033000
5112413142342
610211520000
71406430660
oct364701700
9143710800
1064193472
1133265562
12195b9000
13103b7905
1487501a0
15598044c
hex3d383c0

64193472 has 280 divisors, whose sum is σ = 228660960. Its totient is φ = 17418240.

The previous prime is 64193471. The next prime is 64193477. The reversal of 64193472 is 27439146.

64193472 is a `hidden beast` number, since 641 + 9 + 3 + 4 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64193471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1052322 + ... + 1052382.

Almost surely, 264193472 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 64193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114330480).

64193472 is an abundant number, since it is smaller than the sum of its proper divisors (164467488).

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

64193472 is a wasteful number, since it uses less digits than its factorization.

64193472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 64193472 is about 8012.0828752578. The cubic root of 64193472 is about 400.4026611906.

The spelling of 64193472 in words is "sixty-four million, one hundred ninety-three thousand, four hundred seventy-two".