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1052031616 = 2773112589
BaseRepresentation
bin111110101101001…
…011101010000000
32201022120202001221
4332231023222000
54123310002431
6252220404424
735033056366
oct7655135200
92638522057
101052031616
1149a931a19
122543a6714
13139c5721c
149da13636
156255d111
hex3eb4ba80

1052031616 has 32 divisors (see below), whose sum is σ = 2124573300. Its totient is φ = 518805504.

The previous prime is 1052031601. The next prime is 1052031649. The reversal of 1052031616 is 6161302501.

1052031616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1043031616 + 9000000 = 32296^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10520316162 = 2213541042127142912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46951 + ... + 65638.

Almost surely, 21052031616 is an apocalyptic number.

1052031616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1052031616 is an abundant number, since it is smaller than the sum of its proper divisors (1072541684).

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

1052031616 is an equidigital number, since it uses as much as digits as its factorization.

1052031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112676 (or 112664 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1052031616 is about 32435.0368583111. The cubic root of 1052031616 is about 1017.0514668912.

The spelling of 1052031616 in words is "one billion, fifty-two million, thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 112589 225178 450356 900712 1801424 3602848 7205696 8218997 14411392 16437994 32875988 65751976 131503952 263007904 526015808 1052031616