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25713888 = 2534147139
BaseRepresentation
bin110001000010…
…1110011100000
31210101101211020
41202011303200
523040321023
62315045440
7431364414
oct142056340
953341736
1025713888
1113573252
128740880
135434125
1435b4d44
1523cdde3
hex1885ce0

25713888 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 8125440.

The previous prime is 25713869. The next prime is 25713901. The reversal of 25713888 is 88831752.

It is a happy number.

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

It is a super-2 number, since 2×257138882 = 1322408072153088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (107520) is a multiple of the sum of its prime factors (240).

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, 184923 + ... + 185061.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 225713888 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 25713888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

25713888 is an abundant number, since it is smaller than the sum of its proper divisors (45410592).

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

25713888 is a wasteful number, since it uses less digits than its factorization.

25713888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 25713888 is about 5070.8863130620. The cubic root of 25713888 is about 295.1589223179.

It can be divided in two parts, 2 and 5713888, that added together give a triangular number (5713890 = T3380).

The spelling of 25713888 in words is "twenty-five million, seven hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 82 94 96 123 139 141 164 188 246 278 282 328 376 417 492 556 564 656 752 834 984 1112 1128 1312 1504 1668 1927 1968 2224 2256 3336 3854 3936 4448 4512 5699 5781 6533 6672 7708 11398 11562 13066 13344 15416 17097 19599 22796 23124 26132 30832 34194 39198 45592 46248 52264 61664 68388 78396 91184 92496 104528 136776 156792 182368 184992 209056 267853 273552 313584 535706 547104 627168 803559 1071412 1607118 2142824 3214236 4285648 6428472 8571296 12856944 25713888