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2992275 = 3352111331
BaseRepresentation
bin1011011010100010010011
312122000122000
423122202103
51231223100
6144045043
734301556
oct13324223
95560560
102992275
111764160
121003783
13809ca0
1457c69d
153e1900
hex2da893

2992275 has 96 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 1296000.

The previous prime is 2992273. The next prime is 2992279. The reversal of 2992275 is 5722992.

2992275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2992275 - 21 = 2992273 is a prime.

Its product of digits (22680) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992273) 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 95 ways as a sum of consecutive naturals, for example, 96510 + ... + 96540.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

22992275 is an apocalyptic number.

2992275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2992275 is an abundant number, since it is smaller than the sum of its proper divisors (3673965).

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

2992275 is a wasteful number, since it uses less digits than its factorization.

2992275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2992275 is about 1729.8193547304. The cubic root of 2992275 is about 144.1010575346.

The spelling of 2992275 in words is "two million, nine hundred ninety-two thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 13 15 25 27 31 33 39 45 55 65 75 93 99 117 135 143 155 165 195 225 275 279 297 325 341 351 403 429 465 495 585 675 715 775 825 837 975 1023 1209 1287 1395 1485 1705 1755 2015 2145 2325 2475 2925 3069 3575 3627 3861 4185 4433 5115 6045 6435 6975 7425 8525 8775 9207 10075 10725 10881 13299 15345 18135 19305 20925 22165 25575 30225 32175 39897 46035 54405 66495 76725 90675 96525 110825 119691 199485 230175 272025 332475 598455 997425 2992275