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2525904 = 24341949
BaseRepresentation
bin1001101000101011010000
311202022220000
421220223100
51121312104
6130050000
730320103
oct11505320
94668800
102525904
111475827
12a19900
136a5924
1449a73a
1534d639
hex268ad0

2525904 has 50 divisors (see below), whose sum is σ = 7314450. Its totient is φ = 841536.

The previous prime is 2525851. The next prime is 2525933. The reversal of 2525904 is 4095252.

It can be written as a sum of positive squares in only one way, i.e., 2396304 + 129600 = 1548^2 + 360^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 322 + ... + 2270.

It is an arithmetic number, because the mean of its divisors is an integer number (146289).

22525904 is an apocalyptic number.

2525904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657225).

2525904 is an abundant number, since it is smaller than the sum of its proper divisors (4788546).

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

2525904 is a wasteful number, since it uses less digits than its factorization.

2525904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2525904 is about 1589.3092839344. The cubic root of 2525904 is about 136.1880328712.

The spelling of 2525904 in words is "two million, five hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1949 3898 5847 7796 11694 15592 17541 23388 31184 35082 46776 52623 70164 93552 105246 140328 157869 210492 280656 315738 420984 631476 841968 1262952 2525904