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25972704 = 2533231307
BaseRepresentation
bin110001100010…
…0111111100000
31210212112212000
41203010333200
523122111304
62324404000
7433523112
oct143047740
953775760
1025972704
111372a74a
128846600
1354c4b84
1436413b2
152430939
hex18c4fe0

25972704 has 96 divisors (see below), whose sum is σ = 79107840. Its totient is φ = 8274816.

The previous prime is 25972697. The next prime is 25972729. The reversal of 25972704 is 40727952.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19219 + ... + 20525.

It is an arithmetic number, because the mean of its divisors is an integer number (824040).

Almost surely, 225972704 is an apocalyptic number.

25972704 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 25972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39553920).

25972704 is an abundant number, since it is smaller than the sum of its proper divisors (53135136).

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

25972704 is a wasteful number, since it uses less digits than its factorization.

25972704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 25972704 is about 5096.3422177087. The cubic root of 25972704 is about 296.1458983695.

The spelling of 25972704 in words is "twenty-five million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1307 1656 2208 2484 2614 3312 3921 4968 5228 6624 7842 9936 10456 11763 15684 19872 20912 23526 30061 31368 35289 41824 47052 60122 62736 70578 90183 94104 120244 125472 141156 180366 188208 240488 270549 282312 360732 376416 480976 541098 564624 721464 811647 961952 1082196 1129248 1442928 1623294 2164392 2885856 3246588 4328784 6493176 8657568 12986352 25972704