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25971968 = 281123401
BaseRepresentation
bin110001100010…
…0110100000000
31210212111211202
41203010310000
523122100333
62324400332
7433521011
oct143046400
953774752
1025971968
111372a140
1288460a8
1354c4739
143641008
1524305e8
hex18c4d00

25971968 has 72 divisors (see below), whose sum is σ = 59161536. Its totient is φ = 11264000.

The previous prime is 25971941. The next prime is 25971973. The reversal of 25971968 is 86917952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64568 + ... + 64968.

It is an arithmetic number, because the mean of its divisors is an integer number (821688).

Almost surely, 225971968 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 25971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29580768).

25971968 is an abundant number, since it is smaller than the sum of its proper divisors (33189568).

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

25971968 is a wasteful number, since it uses less digits than its factorization.

25971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its digits is 272160, while the sum is 47.

The square root of 25971968 is about 5096.2700085455. The cubic root of 25971968 is about 296.1431010040.

It can be divided in two parts, 259 and 71968, that added together give a palindrome (72227).

The spelling of 25971968 in words is "twenty-five million, nine hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 401 506 704 736 802 1012 1408 1472 1604 2024 2816 2944 3208 4048 4411 5888 6416 8096 8822 9223 12832 16192 17644 18446 25664 32384 35288 36892 51328 64768 70576 73784 101453 102656 141152 147568 202906 282304 295136 405812 564608 590272 811624 1129216 1180544 1623248 2361088 3246496 6492992 12985984 25971968