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2534048 = 251123313
BaseRepresentation
bin1001101010101010100000
311202202001122
421222222200
51122042143
6130151412
730352616
oct11525240
94682048
102534048
111480960
12a22568
136a954a
1449d6b6
15350c68
hex26aaa0

2534048 has 48 divisors (see below), whose sum is σ = 5697216. Its totient is φ = 1098240.

The previous prime is 2534047. The next prime is 2534053. The reversal of 2534048 is 8404352.

It is not an unprimeable number, because it can be changed into a prime (2534041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7940 + ... + 8252.

It is an arithmetic number, because the mean of its divisors is an integer number (118692).

22534048 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 2534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848608).

2534048 is an abundant number, since it is smaller than the sum of its proper divisors (3163168).

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

2534048 is a wasteful number, since it uses less digits than its factorization.

2534048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2534048 is about 1591.8693413720. The cubic root of 2534048 is about 136.3342413138.

It can be divided in two parts, 253 and 4048, that multiplied together give a square (1024144 = 10122).

The spelling of 2534048 in words is "two million, five hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 313 352 368 506 626 736 1012 1252 2024 2504 3443 4048 5008 6886 7199 8096 10016 13772 14398 27544 28796 55088 57592 79189 110176 115184 158378 230368 316756 633512 1267024 2534048