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997832 = 2311172329
BaseRepresentation
bin11110011100111001000
31212200202202
43303213020
5223412312
633215332
711324063
oct3634710
91780682
10997832
11621760
12401548
1328c244
141bd8da
1514a9c2
hexf39c8

997832 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 394240.

The previous prime is 997813. The next prime is 997877. The reversal of 997832 is 238799.

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 15 ways as a sum of consecutive naturals, for example, 34394 + ... + 34422.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2997832 is an apocalyptic number.

997832 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

997832 is an abundant number, since it is smaller than the sum of its proper divisors (1334968).

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

997832 is a wasteful number, since it uses less digits than its factorization.

997832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 997832 is about 998.9154118343. The cubic root of 997832 is about 99.9276810456.

The spelling of 997832 in words is "nine hundred ninety-seven thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 23 29 34 44 46 58 68 88 92 116 136 184 187 232 253 319 374 391 493 506 638 667 748 782 986 1012 1276 1334 1496 1564 1972 2024 2552 2668 3128 3944 4301 5336 5423 7337 8602 10846 11339 14674 17204 21692 22678 29348 34408 43384 45356 58696 90712 124729 249458 498916 997832