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2508288 = 2932371
BaseRepresentation
bin1001100100011000000000
311201102201120
421210120000
51120231123
6125432240
730214536
oct11443000
94642646
102508288
111463572
12a0b680
1369a8c3
14494156
153482e3
hex264600

2508288 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 788480.

The previous prime is 2508283. The next prime is 2508293. The reversal of 2508288 is 8828052.

It is an interprime number because it is at equal distance from previous prime (2508283) and next prime (2508293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508281) 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, 35293 + ... + 35363.

22508288 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 2508288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2508288 is an abundant number, since it is smaller than the sum of its proper divisors (4562688).

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

2508288 is an equidigital number, since it uses as much as digits as its factorization.

2508288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2508288 is about 1583.7575572038. The cubic root of 2508288 is about 135.8706960171.

The spelling of 2508288 in words is "two million, five hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 128 138 142 184 192 213 256 276 284 368 384 426 512 552 568 736 768 852 1104 1136 1472 1536 1633 1704 2208 2272 2944 3266 3408 4416 4544 4899 5888 6532 6816 8832 9088 9798 11776 13064 13632 17664 18176 19596 26128 27264 35328 36352 39192 52256 54528 78384 104512 109056 156768 209024 313536 418048 627072 836096 1254144 2508288