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1038080832 = 2635406671
BaseRepresentation
bin111101110111111…
…101101101000000
32200100022222012020
4331313331231000
54111222041312
6251001401440
734503353505
oct7567755500
92610288166
101038080832
11492a73548
1224b799280
131370b1319
149bc214ac
156120478c
hex3ddfdb40

1038080832 has 28 divisors (see below), whose sum is σ = 2746589376. Its totient is φ = 346026880.

The previous prime is 1038080831. The next prime is 1038080887. The reversal of 1038080832 is 2380808301.

It is a super-2 number, since 2×10380808322 = 2155223627531624448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1038080793 and 1038080802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038080831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2703144 + ... + 2703527.

Almost surely, 21038080832 is an apocalyptic number.

1038080832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1038080832 is an abundant number, since it is smaller than the sum of its proper divisors (1708508544).

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

1038080832 is an equidigital number, since it uses as much as digits as its factorization.

1038080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406686 (or 5406676 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1038080832 is about 32219.2618164973. The cubic root of 1038080832 is about 1012.5358075433.

The spelling of 1038080832 in words is "one billion, thirty-eight million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 5406671 10813342 16220013 21626684 32440026 43253368 64880052 86506736 129760104 173013472 259520208 346026944 519040416 1038080832