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25643540 = 225131929179
BaseRepresentation
bin110000111010…
…0101000010100
31210020211022202
41201310220110
523031043130
62313344032
7430652336
oct141645024
953224282
1025643540
111352540a
128708018
13540b0c0
143597456
1523b8145
hex1874a14

25643540 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 8612352.

The previous prime is 25643539. The next prime is 25643543. The reversal of 25643540 is 4534652.

It is a super-2 number, since 2×256435402 = 1315182287463200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25643543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143171 + ... + 143349.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 225643540 is an apocalyptic number.

25643540 is a gapful number since it is divisible by the number (20) 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 25643540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

25643540 is an abundant number, since it is smaller than the sum of its proper divisors (37860460).

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

25643540 is a wasteful number, since it uses less digits than its factorization.

25643540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 25643540 is about 5063.9451023881. The cubic root of 25643540 is about 294.8895114335.

The spelling of 25643540 in words is "twenty-five million, six hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 29 38 52 58 65 76 95 116 130 145 179 190 247 260 290 358 377 380 494 551 580 716 754 895 988 1102 1235 1508 1790 1885 2204 2327 2470 2755 3401 3580 3770 4654 4940 5191 5510 6802 7163 7540 9308 10382 11020 11635 13604 14326 17005 20764 23270 25955 28652 34010 35815 44213 46540 51910 67483 68020 71630 88426 98629 103820 134966 143260 176852 197258 221065 269932 337415 394516 442130 493145 674830 884260 986290 1282177 1349660 1972580 2564354 5128708 6410885 12821770 25643540