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2992608 = 253210391
BaseRepresentation
bin1011011010100111100000
312122001002100
423122213200
51231230413
6144050400
734302543
oct13324740
95561070
102992608
111764433
121003a00
1380a198
1457c85a
153e1a73
hex2da9e0

2992608 has 36 divisors (see below), whose sum is σ = 8511048. Its totient is φ = 997440.

The previous prime is 2992607. The next prime is 2992609. The reversal of 2992608 is 8062992.

2992608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2992607) and next prime (2992609).

It is a tau number, because it is divible by the number of its divisors (36).

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 (2992607) 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, 4908 + ... + 5483.

It is an arithmetic number, because the mean of its divisors is an integer number (236418).

22992608 is an apocalyptic number.

It is an amenable number.

2992608 is an abundant number, since it is smaller than the sum of its proper divisors (5518440).

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

2992608 is a wasteful number, since it uses less digits than its factorization.

2992608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2992608 is about 1729.9156048779. The cubic root of 2992608 is about 144.1064028401.

It can be divided in two parts, 2992 and 608, that added together give a square (3600 = 602).

The spelling of 2992608 in words is "two million, nine hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10391 20782 31173 41564 62346 83128 93519 124692 166256 187038 249384 332512 374076 498768 748152 997536 1496304 2992608