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2628704 = 25137189
BaseRepresentation
bin1010000001110001100000
311221112220102
422001301200
51133104304
6132201532
731225601
oct12016140
94845812
102628704
111535a91
12a692a8
13710660
144c5da8
1536dd1e
hex281c60

2628704 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 1182720.

The previous prime is 2628697. The next prime is 2628709. The reversal of 2628704 is 4078262.

2628704 = T75 + T76 + ... + T252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29492 + ... + 29580.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

22628704 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 2628704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2628704 is an abundant number, since it is smaller than the sum of its proper divisors (3086656).

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

2628704 is a wasteful number, since it uses less digits than its factorization.

2628704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2628704 is about 1621.3278508679. The cubic root of 2628704 is about 138.0110612152.

The spelling of 2628704 in words is "two million, six hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 71 89 104 142 178 208 284 356 416 568 712 923 1136 1157 1424 1846 2272 2314 2848 3692 4628 6319 7384 9256 12638 14768 18512 25276 29536 37024 50552 82147 101104 164294 202208 328588 657176 1314352 2628704