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2992792 = 231171479
BaseRepresentation
bin1011011010101010011000
312122001100011
423122222120
51231232132
6144051304
734303225
oct13325230
95561304
102992792
111764590
121003b34
1380a2aa
1457c94c
153e1b47
hex2daa98

2992792 has 32 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 1338400.

The previous prime is 2992789. The next prime is 2992793. The reversal of 2992792 is 2972992.

2992792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (40824) is a multiple of the sum of its prime factors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992793) 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, 6009 + ... + 6487.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

22992792 is an apocalyptic number.

2992792 is a gapful number since it is divisible by the number (22) 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 2992792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2992792 is an abundant number, since it is smaller than the sum of its proper divisors (3228008).

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

2992792 is a wasteful number, since it uses less digits than its factorization.

2992792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The square root of 2992792 is about 1729.9687858456. The cubic root of 2992792 is about 144.1093562323.

The spelling of 2992792 in words is "two million, nine hundred ninety-two thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 479 568 781 958 1562 1916 3124 3832 5269 6248 10538 21076 34009 42152 68018 136036 272072 374099 748198 1496396 2992792