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2525376 = 26371879
BaseRepresentation
bin1001101000100011000000
311202022011110
421220203000
51121303001
6130043320
730315420
oct11504300
94668143
102525376
111475397
12a19540
136a5609
1449a480
1534d3d6
hex2688c0

2525376 has 56 divisors (see below), whose sum is σ = 7640320. Its totient is φ = 721152.

The previous prime is 2525371. The next prime is 2525387. The reversal of 2525376 is 6735252.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 22 + 58 + 212 + 59 + 311 + 73 + 62 .

It is not an unprimeable number, because it can be changed into a prime (2525371) 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, 405 + ... + 2283.

22525376 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 2525376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820160).

2525376 is an abundant number, since it is smaller than the sum of its proper divisors (5114944).

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

2525376 is a wasteful number, since it uses less digits than its factorization.

2525376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1891 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 2525376 is about 1589.1431653567. The cubic root of 2525376 is about 136.1785428969.

The spelling of 2525376 in words is "two million, five hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1879 3758 5637 7516 11274 13153 15032 22548 26306 30064 39459 45096 52612 60128 78918 90192 105224 120256 157836 180384 210448 315672 360768 420896 631344 841792 1262688 2525376