Search a number
-
+
64125792 = 2532222659
BaseRepresentation
bin1111010010011…
…1101101100000
311110122221001100
43310213231200
5112404011132
610210234400
71406026443
oct364475540
9143587040
1064125792
1133219725
1219585a00
1310392b73
14873365a
15596a37c
hex3d27b60

64125792 has 36 divisors (see below), whose sum is σ = 182358540. Its totient is φ = 21375168.

The previous prime is 64125781. The next prime is 64125797. The reversal of 64125792 is 29752146.

64125792 is a `hidden beast` number, since 641 + 2 + 5 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×641257922 = 8224234399254528, which contains 22 as substring.

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 (64125797) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111042 + ... + 111617.

It is an arithmetic number, because the mean of its divisors is an integer number (5065515).

Almost surely, 264125792 is an apocalyptic number.

It is an amenable number.

64125792 is an abundant number, since it is smaller than the sum of its proper divisors (118232748).

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

64125792 is a wasteful number, since it uses less digits than its factorization.

64125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222675 (or 222664 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 64125792 is about 8007.8581406016. The cubic root of 64125792 is about 400.2618951566.

The spelling of 64125792 in words is "sixty-four million, one hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 222659 445318 667977 890636 1335954 1781272 2003931 2671908 3562544 4007862 5343816 7125088 8015724 10687632 16031448 21375264 32062896 64125792