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2525256 = 2336433
BaseRepresentation
bin1001101000100001001000
311202022000000
421220201020
51121302011
6130043000
730315156
oct11504110
94668000
102525256
111475298
12a19460
136a5546
1449a3d6
1534d356
hex268848

2525256 has 56 divisors (see below), whose sum is σ = 7115430. Its totient is φ = 839808.

The previous prime is 2525249. The next prime is 2525267. The reversal of 2525256 is 6525252.

It can be written as a sum of positive squares in only one way, i.e., 2452356 + 72900 = 1566^2 + 270^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 5616 + ... + 6048.

22525256 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 2525256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557715).

2525256 is an abundant number, since it is smaller than the sum of its proper divisors (4590174).

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

2525256 is an equidigital number, since it uses as much as digits as its factorization.

2525256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 2525256 is about 1589.1054087127. The cubic root of 2525256 is about 136.1763859001.

2525256 divided by its sum of digits (27) gives a triangular number (93528 = T432).

It can be divided in two parts, 25 and 25256, that added together give a square (25281 = 1592).

The spelling of 2525256 in words is "two million, five hundred twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 433 486 648 729 866 972 1299 1458 1732 1944 2598 2916 3464 3897 5196 5832 7794 10392 11691 15588 23382 31176 35073 46764 70146 93528 105219 140292 210438 280584 315657 420876 631314 841752 1262628 2525256