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9992742 = 238918713
BaseRepresentation
bin100110000111…
…101000100110
3200210200110120
4212013220212
510024231432
6554102410
7150636234
oct46075046
920720416
109992742
115705771
12341aa06
1320bb486
141481954
15d25c2c
hex987a26

9992742 has 16 divisors (see below), whose sum is σ = 20211120. Its totient is φ = 3293312.

The previous prime is 9992737. The next prime is 9992743. The reversal of 9992742 is 2472999.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9992694 and 9992703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9992743) 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 7 ways as a sum of consecutive naturals, for example, 8823 + ... + 9890.

It is an arithmetic number, because the mean of its divisors is an integer number (1263195).

Almost surely, 29992742 is an apocalyptic number.

9992742 is an abundant number, since it is smaller than the sum of its proper divisors (10218378).

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

9992742 is a wasteful number, since it uses less digits than its factorization.

9992742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18807.

The product of its digits is 81648, while the sum is 42.

The square root of 9992742 is about 3161.1298612996. The cubic root of 9992742 is about 215.3913334312.

It can be divided in two parts, 999 and 2742, that added together give a triangular number (3741 = T86).

The spelling of 9992742 in words is "nine million, nine hundred ninety-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 89 178 267 534 18713 37426 56139 112278 1665457 3330914 4996371 9992742