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2993688 = 233241579
BaseRepresentation
bin1011011010111000011000
312122002120100
423122320120
51231244223
6144055400
734305645
oct13327030
95562510
102993688
111765225
121004560
1380a819
1457cdcc
153e2043
hex2dae18

2993688 has 24 divisors (see below), whose sum is σ = 8108100. Its totient is φ = 997872.

The previous prime is 2993687. The next prime is 2993723. The reversal of 2993688 is 8863992.

2993688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993681) 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 5 ways as a sum of consecutive naturals, for example, 20718 + ... + 20861.

22993688 is an apocalyptic number.

It is an amenable number.

2993688 is an abundant number, since it is smaller than the sum of its proper divisors (5114412).

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

2993688 is a wasteful number, since it uses less digits than its factorization.

2993688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41591 (or 41584 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2993688 is about 1730.2277306759. The cubic root of 2993688 is about 144.1237362381.

The spelling of 2993688 in words is "two million, nine hundred ninety-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41579 83158 124737 166316 249474 332632 374211 498948 748422 997896 1496844 2993688