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25688988 = 22351319107
BaseRepresentation
bin110000111111…
…1101110011100
31210100010200000
41201333232130
523034021423
62314334300
7431232003
oct141775634
953303600
1025688988
1113556576
12872a390
1354259b0
1435a9c3a
1523c6843
hex187fb9c

25688988 has 144 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 7418304.

The previous prime is 25688981. The next prime is 25689029. The reversal of 25688988 is 88988652.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2211840) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25688981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240031 + ... + 240137.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 225688988 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 25688988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

25688988 is an abundant number, since it is smaller than the sum of its proper divisors (51362532).

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

25688988 is a wasteful number, since it uses less digits than its factorization.

25688988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 25688988 is about 5068.4305263069. The cubic root of 25688988 is about 295.0636193346.

The spelling of 25688988 in words is "twenty-five million, six hundred eighty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 107 108 114 117 156 162 171 214 228 234 243 247 321 324 342 351 428 468 486 494 513 642 684 702 741 963 972 988 1026 1053 1284 1391 1404 1482 1539 1926 2033 2052 2106 2223 2782 2889 2964 3078 3159 3852 4066 4173 4212 4446 4617 5564 5778 6099 6156 6318 6669 8132 8346 8667 8892 9234 11556 12198 12519 12636 13338 16692 17334 18297 18468 20007 24396 25038 26001 26429 26676 34668 36594 37557 40014 50076 52002 52858 54891 60021 73188 75114 79287 80028 104004 105716 109782 112671 120042 150228 158574 164673 219564 225342 237861 240084 317148 329346 338013 450684 475722 494019 658692 676026 713583 951444 988038 1352052 1427166 1976076 2140749 2854332 4281498 6422247 8562996 12844494 25688988