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8020872 = 2332176553
BaseRepresentation
bin11110100110001110001000
3120002111120100
4132212032020
54023131442
6443525400
7125114316
oct36461610
916074510
108020872
114589222
122829860
13187aaa2
1410cb0b6
15a8684c
hex7a6388

8020872 has 48 divisors (see below), whose sum is σ = 23004540. Its totient is φ = 2515968.

The previous prime is 8020867. The next prime is 8020891. The reversal of 8020872 is 2780208.

It can be written as a sum of positive squares in 2 ways, for example, as 7986276 + 34596 = 2826^2 + 186^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2053 + ... + 4500.

Almost surely, 28020872 is an apocalyptic number.

It is an amenable number.

8020872 is an abundant number, since it is smaller than the sum of its proper divisors (14983668).

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

8020872 is a wasteful number, since it uses less digits than its factorization.

8020872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8020872 is about 2832.1144044689. The cubic root of 8020872 is about 200.1737822882.

The spelling of 8020872 in words is "eight million, twenty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 6553 13106 19659 26212 39318 52424 58977 78636 111401 117954 157272 222802 235908 334203 445604 471816 668406 891208 1002609 1336812 2005218 2673624 4010436 8020872