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2530892 = 2271317409
BaseRepresentation
bin1001101001111001001100
311202120201202
421221321030
51121442032
6130125032
730340460
oct11517114
94676652
102530892
111479551
12a20778
136a7c90
1449c4a0
1534ed62
hex269e4c

2530892 has 48 divisors (see below), whose sum is σ = 5785920. Its totient is φ = 940032.

The previous prime is 2530877. The next prime is 2530907. The reversal of 2530892 is 2980352.

2530892 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 (2530877) and next prime (2530907).

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 15 ways as a sum of consecutive naturals, for example, 5984 + ... + 6392.

It is an arithmetic number, because the mean of its divisors is an integer number (120540).

22530892 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 2530892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892960).

2530892 is an abundant number, since it is smaller than the sum of its proper divisors (3255028).

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

2530892 is a wasteful number, since it uses less digits than its factorization.

2530892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2530892 is about 1590.8777451457. The cubic root of 2530892 is about 136.2776191800.

The spelling of 2530892 in words is "two million, five hundred thirty thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 409 442 476 818 884 1547 1636 2863 3094 5317 5726 6188 6953 10634 11452 13906 21268 27812 37219 48671 74438 90389 97342 148876 180778 194684 361556 632723 1265446 2530892