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993285792 = 253217202877
BaseRepresentation
bin111011001101000…
…101011010100000
32120020001010221200
4323031011122200
54013240121132
6242321321200
733420534642
oct7315053240
92506033850
10993285792
1146a758354
12238796200
1312aa29095
1495cc0892
155c306d7c
hex3b3456a0

993285792 has 72 divisors (see below), whose sum is σ = 2990827476. Its totient is φ = 311617536.

The previous prime is 993285779. The next prime is 993285829. The reversal of 993285792 is 297582399.

It can be written as a sum of positive squares in 2 ways, for example, as 990738576 + 2547216 = 31476^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96543 + ... + 106334.

Almost surely, 2993285792 is an apocalyptic number.

It is an amenable number.

993285792 is an abundant number, since it is smaller than the sum of its proper divisors (1997541684).

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

993285792 is a wasteful number, since it uses less digits than its factorization.

993285792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202910 (or 202899 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 993285792 is about 31516.4368544415. The cubic root of 993285792 is about 997.7569029443.

The spelling of 993285792 in words is "nine hundred ninety-three million, two hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 202877 405754 608631 811508 1217262 1623016 1825893 2434524 3246032 3448909 3651786 4869048 6492064 6897818 7303572 9738096 10346727 13795636 14607144 19476192 20693454 27591272 29214288 31040181 41386908 55182544 58428576 62080362 82773816 110365088 124160724 165547632 248321448 331095264 496642896 993285792