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64683072 = 2632112297
BaseRepresentation
bin1111011010111…
…1110001000000
311111201020111100
43312233301000
5113024324242
610230214400
71413540246
oct366576100
9144636440
1064683072
113356a393
12197b4400
131052970c
14883a796
155a2a54c
hex3dafc40

64683072 has 42 divisors (see below), whose sum is σ = 185403998. Its totient is φ = 21560832.

The previous prime is 64683053. The next prime is 64683077. The reversal of 64683072 is 27038646.

64683072 is a `hidden beast` number, since 646 + 8 + 3 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 11451456 = 7296^2 + 3384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (64683077) 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, 55573 + ... + 56724.

Almost surely, 264683072 is an apocalyptic number.

It is an amenable number.

64683072 is an abundant number, since it is smaller than the sum of its proper divisors (120720926).

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

64683072 is a wasteful number, since it uses less digits than its factorization.

64683072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112315 (or 112302 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64683072 is about 8042.5786909424. The cubic root of 64683072 is about 401.4180336775.

The spelling of 64683072 in words is "sixty-four million, six hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 112297 224594 336891 449188 673782 898376 1010673 1347564 1796752 2021346 2695128 3593504 4042692 5390256 7187008 8085384 10780512 16170768 21561024 32341536 64683072