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2992864 = 25731431
BaseRepresentation
bin1011011010101011100000
312122001102211
423122223200
51231232424
6144051504
734303360
oct13325340
95561384
102992864
111764646
121003b94
1380a334
1457c9a0
153e1b94
hex2daae0

2992864 has 48 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 1238400.

The previous prime is 2992859. The next prime is 2992879. The reversal of 2992864 is 4682992.

2992864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 6729 + ... + 7159.

It is an arithmetic number, because the mean of its divisors is an integer number (145152).

22992864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2992864 is an abundant number, since it is smaller than the sum of its proper divisors (3974432).

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

2992864 is a wasteful number, since it uses less digits than its factorization.

2992864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 2992864 is about 1729.9895953444. The cubic root of 2992864 is about 144.1105118745.

It can be divided in two parts, 29928 and 64, that added together give a palindrome (29992).

The spelling of 2992864 in words is "two million, nine hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 431 434 496 862 868 992 1724 1736 3017 3448 3472 6034 6896 6944 12068 13361 13792 24136 26722 48272 53444 93527 96544 106888 187054 213776 374108 427552 748216 1496432 2992864