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2525628 = 2237107281
BaseRepresentation
bin1001101000100110111100
311202022111210
421220212330
51121310003
6130044420
730316230
oct11504674
94668453
102525628
1114755a6
12a19710
136a5771
1449a5c0
1534d503
hex2689bc

2525628 has 48 divisors (see below), whose sum is σ = 6822144. Its totient is φ = 712320.

The previous prime is 2525623. The next prime is 2525629. The reversal of 2525628 is 8265252.

2525628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2525628 is a nontrivial binomial coefficient, being equal to C(2248, 2).

Its product of digits (9600) is a multiple of the sum of its prime divisors (400).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2525595 and 2525604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8848 + ... + 9128.

It is an arithmetic number, because the mean of its divisors is an integer number (142128).

22525628 is an apocalyptic number.

2525628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2525628 is the 2247-th triangular number and also the 1124-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411072).

2525628 is an abundant number, since it is smaller than the sum of its proper divisors (4296516).

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

2525628 is a wasteful number, since it uses less digits than its factorization.

2525628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 2525628 is about 1589.2224513894. Note that the first 3 decimals coincide. The cubic root of 2525628 is about 136.1830723678.

The spelling of 2525628 in words is "two million, five hundred twenty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 281 321 428 562 642 749 843 1124 1284 1498 1686 1967 2247 2996 3372 3934 4494 5901 7868 8988 11802 23604 30067 60134 90201 120268 180402 210469 360804 420938 631407 841876 1262814 2525628