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2506288 = 24312163
BaseRepresentation
bin1001100011111000110000
311201022222111
421203320300
51120200123
6125415104
730205651
oct11437060
94638874
102506288
111462014
12a0a494
13699a15
14493528
1534790d
hex263e30

2506288 has 30 divisors (see below), whose sum is σ = 5048412. Its totient is φ = 1205280.

The previous prime is 2506279. The next prime is 2506291. The reversal of 2506288 is 8826052.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15295 + ... + 15457.

22506288 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 2506288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524206).

2506288 is an abundant number, since it is smaller than the sum of its proper divisors (2542124).

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

2506288 is a wasteful number, since it uses less digits than its factorization.

2506288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2506288 is about 1583.1260215157. The cubic root of 2506288 is about 135.8345739491.

The spelling of 2506288 in words is "two million, five hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 31 62 124 163 248 326 496 652 961 1304 1922 2608 3844 5053 7688 10106 15376 20212 40424 80848 156643 313286 626572 1253144 2506288