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25252672 = 261921093
BaseRepresentation
bin110000001010…
…1001101000000
31202111222011011
41200111031000
522431041142
62301130304
7424433644
oct140251500
952458134
1025252672
1113288785
128559994
135302213
1434d4c24
15233c417
hex1815340

25252672 has 42 divisors (see below), whose sum is σ = 52935378. Its totient is φ = 11950848.

The previous prime is 25252663. The next prime is 25252673. The reversal of 25252672 is 27625252.

It can be written as a sum of positive squares in only one way, i.e., 25160256 + 92416 = 5016^2 + 304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25252673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22558 + ... + 23650.

Almost surely, 225252672 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 25252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467689).

25252672 is an abundant number, since it is smaller than the sum of its proper divisors (27682706).

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

25252672 is a wasteful number, since it uses less digits than its factorization.

25252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1114 counting only the distinct ones).

The product of its digits is 16800, while the sum is 31.

The square root of 25252672 is about 5025.2036774642. The cubic root of 25252672 is about 293.3835634826.

The spelling of 25252672 in words is "twenty-five million, two hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1093 1216 1444 2186 2888 4372 5776 8744 11552 17488 20767 23104 34976 41534 69952 83068 166136 332272 394573 664544 789146 1329088 1578292 3156584 6313168 12626336 25252672