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2492256 = 253131997
BaseRepresentation
bin1001100000011101100000
311200121201210
421200131200
51114223011
6125230120
730120024
oct11403540
94617653
102492256
111452518
12a02340
13693510
1448c384
153436a6
hex260760

2492256 has 48 divisors (see below), whose sum is σ = 7048944. Its totient is φ = 766464.

The previous prime is 2492239. The next prime is 2492263. The reversal of 2492256 is 6522942.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×24922562 = 12422679939072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (146853).

22492256 is an apocalyptic number.

2492256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524472).

2492256 is an abundant number, since it is smaller than the sum of its proper divisors (4556688).

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

2492256 is a wasteful number, since it uses less digits than its factorization.

2492256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2015 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 2492256 is about 1578.6880629181. The cubic root of 2492256 is about 135.5805995513.

It can be divided in two parts, 24 and 92256, that multiplied together give a square (2214144 = 14882).

The spelling of 2492256 in words is "two million, four hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1997 3994 5991 7988 11982 15976 23964 25961 31952 47928 51922 63904 77883 95856 103844 155766 191712 207688 311532 415376 623064 830752 1246128 2492256