[go: up one dir, main page]

Search a number
-
+
2992752 = 243272969
BaseRepresentation
bin1011011010101001110000
312122001021200
423122221300
51231232002
6144051200
734303140
oct13325160
95561250
102992752
111764554
121003b00
1380a279
1457c920
153e1b1c
hex2daa70

2992752 has 60 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 854784.

The previous prime is 2992739. The next prime is 2992763. The reversal of 2992752 is 2572992.

2992752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 477 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

22992752 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 2992752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

2992752 is an abundant number, since it is smaller than the sum of its proper divisors (6582528).

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

2992752 is a wasteful number, since it uses less digits than its factorization.

2992752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2981 counting only the distinct ones).

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

The square root of 2992752 is about 1729.9572249047. The cubic root of 2992752 is about 144.1087142008.

The spelling of 2992752 in words is "two million, nine hundred ninety-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2969 5938 8907 11876 17814 20783 23752 26721 35628 41566 47504 53442 62349 71256 83132 106884 124698 142512 166264 187047 213768 249396 332528 374094 427536 498792 748188 997584 1496376 2992752