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331686992 = 247131571451
BaseRepresentation
bin10011110001010…
…010010001010000
3212010010110000102
4103301102101100
51134402440432
652525111532
711135202320
oct2361222120
9763113012
10331686992
1116025738a
12930b85a8
13539438c0
14320a1280
151e1bc962
hex13c52450

331686992 has 80 divisors (see below), whose sum is σ = 796532352. Its totient is φ = 130291200.

The previous prime is 331686991. The next prime is 331686997. The reversal of 331686992 is 299686133.

It is a super-2 number, since 2×3316869922 = 220032521324016128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331686991) 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 15 ways as a sum of consecutive naturals, for example, 227867 + ... + 229317.

Almost surely, 2331686992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331686992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398266176).

331686992 is an abundant number, since it is smaller than the sum of its proper divisors (464845360).

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

331686992 is a wasteful number, since it uses less digits than its factorization.

331686992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its digits is 419904, while the sum is 47.

The square root of 331686992 is about 18212.2758599797. The cubic root of 331686992 is about 692.2178805381.

The spelling of 331686992 in words is "three hundred thirty-one million, six hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 157 182 208 314 364 628 728 1099 1256 1451 1456 2041 2198 2512 2902 4082 4396 5804 8164 8792 10157 11608 14287 16328 17584 18863 20314 23216 28574 32656 37726 40628 57148 75452 81256 114296 132041 150904 162512 227807 228592 264082 301808 455614 528164 911228 1056328 1594649 1822456 2112656 2961491 3189298 3644912 5922982 6378596 11845964 12757192 20730437 23691928 25514384 41460874 47383856 82921748 165843496 331686992