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992132352 = 28322231931
BaseRepresentation
bin111011001000101…
…011110100000000
32120010212112201200
4323020223310000
54012441213402
6242240501200
733404662101
oct7310536400
92503775650
10992132352
1146a03a7a2
1223831a800
1312a714083
1495aa03a8
155c17a21c
hex3b22bd00

992132352 has 108 divisors (see below), whose sum is σ = 2874877824. Its totient is φ = 329057280.

The previous prime is 992132333. The next prime is 992132357. The reversal of 992132352 is 253231299.

992132352 is a `hidden beast` number, since 99 + 213 + 2 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992132357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512827 + ... + 514757.

Almost surely, 2992132352 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 992132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437438912).

992132352 is an abundant number, since it is smaller than the sum of its proper divisors (1882745472).

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

992132352 is a wasteful number, since it uses less digits than its factorization.

992132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2159 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 992132352 is about 31498.1325160715. The cubic root of 992132352 is about 997.3705426809.

The spelling of 992132352 in words is "nine hundred ninety-two million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 576 669 768 892 1152 1338 1784 1931 2007 2304 2676 3568 3862 4014 5352 5793 7136 7724 8028 10704 11586 14272 15448 16056 17379 21408 23172 28544 30896 32112 34758 42816 46344 57088 61792 64224 69516 85632 92688 123584 128448 139032 171264 185376 247168 256896 278064 370752 430613 494336 513792 556128 741504 861226 1112256 1291839 1483008 1722452 2224512 2583678 3444904 3875517 4449024 5167356 6889808 7751034 10334712 13779616 15502068 20669424 27559232 31004136 41338848 55118464 62008272 82677696 110236928 124016544 165355392 248033088 330710784 496066176 992132352