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1052844672 = 27311249253
BaseRepresentation
bin111110110000010…
…010001010000000
32201101010001101010
4332300102022000
54124012012142
6252250040520
735043013665
oct7660221200
92641101333
101052844672
114a0337870
12254719140
1313a180319
149db85a6c
156266de9c
hex3ec12280

1052844672 has 64 divisors (see below), whose sum is σ = 3050868960. Its totient is φ = 319042560.

The previous prime is 1052844671. The next prime is 1052844707. The reversal of 1052844672 is 2764482501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10528446722 = 2216963806717575168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052844672.

It is not an unprimeable number, because it can be changed into a prime (1052844671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 120403 + ... + 128850.

Almost surely, 21052844672 is an apocalyptic number.

1052844672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1052844672 is an abundant number, since it is smaller than the sum of its proper divisors (1998024288).

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

1052844672 is a wasteful number, since it uses less digits than its factorization.

1052844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249281 (or 249269 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 1052844672 is about 32447.5680444621. The cubic root of 1052844672 is about 1017.3134066940.

The spelling of 1052844672 in words is "one billion, fifty-two million, eight hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 249253 498506 747759 997012 1495518 1994024 2741783 2991036 3988048 5483566 5982072 7976096 8225349 10967132 11964144 15952192 16450698 21934264 23928288 31904384 32901396 43868528 47856576 65802792 87737056 95713152 131605584 175474112 263211168 350948224 526422336 1052844672