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25414368 = 253759641
BaseRepresentation
bin110000011110…
…0101011100000
31202211011221220
41200330223200
523001224433
62304415040
7426006240
oct140745340
952734856
1025414368
1113389211
128617480
13535a9b5
143537b20
1523702b3
hex183cae0

25414368 has 96 divisors (see below), whose sum is σ = 77656320. Its totient is φ = 7127040.

The previous prime is 25414349. The next prime is 25414387. The reversal of 25414368 is 86341452.

It is an interprime number because it is at equal distance from previous prime (25414349) and next prime (25414387).

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (23040) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is an unprimeable number.

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, 39328 + ... + 39968.

It is an arithmetic number, because the mean of its divisors is an integer number (808920).

Almost surely, 225414368 is an apocalyptic number.

25414368 is a gapful number since it is divisible by the number (28) 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 25414368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38828160).

25414368 is an abundant number, since it is smaller than the sum of its proper divisors (52241952).

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

25414368 is a wasteful number, since it uses less digits than its factorization.

25414368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 25414368 is about 5041.2665075356. The cubic root of 25414368 is about 294.0084221753.

The spelling of 25414368 in words is "twenty-five million, four hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 641 672 708 826 944 1239 1282 1416 1652 1888 1923 2478 2564 2832 3304 3846 4487 4956 5128 5664 6608 7692 8974 9912 10256 13216 13461 15384 17948 19824 20512 26922 30768 35896 37819 39648 53844 61536 71792 75638 107688 113457 143584 151276 215376 226914 264733 302552 430752 453828 529466 605104 794199 907656 1058932 1210208 1588398 1815312 2117864 3176796 3630624 4235728 6353592 8471456 12707184 25414368