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8064972 = 2232224027
BaseRepresentation
bin11110110000111111001100
3120011202001200
4132300333030
54031034342
6444505500
7125360016
oct36607714
916152050
108064972
114609373
12284b290
131894b96
1410dd1b6
15a9494c
hex7b0fcc

8064972 has 18 divisors (see below), whose sum is σ = 20386548. Its totient is φ = 2688312.

The previous prime is 8064971. The next prime is 8064977. The reversal of 8064972 is 2794608.

8064972 is a `hidden beast` number, since 8 + 0 + 649 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 224027 = 8064972 / (8 + 0 + 6 + 4 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (8064971) 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, 111978 + ... + 112049.

It is an arithmetic number, because the mean of its divisors is an integer number (1132586).

Almost surely, 28064972 is an apocalyptic number.

It is an amenable number.

8064972 is an abundant number, since it is smaller than the sum of its proper divisors (12321576).

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

8064972 is a wasteful number, since it uses less digits than its factorization.

8064972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224037 (or 224032 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8064972 is about 2839.8894344675. The cubic root of 8064972 is about 200.5399741608.

It can be divided in two parts, 806 and 4972, that added together give a triangular number (5778 = T107).

The spelling of 8064972 in words is "eight million, sixty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 224027 448054 672081 896108 1344162 2016243 2688324 4032486 8064972