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25317072 = 24321121453
BaseRepresentation
bin110000010010…
…0111011010000
31202122020111100
41200210323100
522440121242
62302344400
7425122464
oct140447320
952566440
1025317072
1113322100
12858b100
135325621
1435104a4
15235154c
hex1824ed0

25317072 has 90 divisors (see below), whose sum is σ = 77932946. Its totient is φ = 7666560.

The previous prime is 25317059. The next prime is 25317073. The reversal of 25317072 is 27071352.

It can be written as a sum of positive squares in only one way, i.e., 25160256 + 156816 = 5016^2 + 396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25317073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16698 + ... + 18150.

Almost surely, 225317072 is an apocalyptic number.

25317072 is a gapful number since it is divisible by the number (22) 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 25317072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966473).

25317072 is an abundant number, since it is smaller than the sum of its proper divisors (52615874).

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

25317072 is a wasteful number, since it uses less digits than its factorization.

25317072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 25317072 is about 5031.6072978721. The cubic root of 25317072 is about 293.6327498258.

The spelling of 25317072 in words is "twenty-five million, three hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1453 1584 1936 2178 2904 2906 4356 4359 5808 5812 8712 8718 11624 13077 15983 17424 17436 23248 26154 31966 34872 47949 52308 63932 69744 95898 104616 127864 143847 175813 191796 209232 255728 287694 351626 383592 527439 575388 703252 767184 1054878 1150776 1406504 1582317 2109756 2301552 2813008 3164634 4219512 6329268 8439024 12658536 25317072