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25554540 = 223511311249
BaseRepresentation
bin110000101111…
…0111001101100
31210002022020110
41201132321230
523020221130
62311420020
7430132014
oct141367154
953068213
1025554540
1113474560
128684610
1353a973b
143572c44
15239bab0
hex185ee6c

25554540 has 96 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 5990400.

The previous prime is 25554517. The next prime is 25554569. The reversal of 25554540 is 4545552.

It is a super-2 number, since 2×255545402 = 1306069029223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25554498 and 25554507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19836 + ... + 21084.

It is an arithmetic number, because the mean of its divisors is an integer number (840000).

Almost surely, 225554540 is an apocalyptic number.

25554540 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 25554540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

25554540 is an abundant number, since it is smaller than the sum of its proper divisors (55085460).

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

25554540 is a wasteful number, since it uses less digits than its factorization.

25554540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 25554540 is about 5055.1498494110. The cubic root of 25554540 is about 294.5479622835.

The spelling of 25554540 in words is "twenty-five million, five hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1249 1364 1705 1860 2046 2498 3410 3747 4092 4996 5115 6245 6820 7494 10230 12490 13739 14988 18735 20460 24980 27478 37470 38719 41217 54956 68695 74940 77438 82434 116157 137390 154876 164868 193595 206085 232314 274780 387190 412170 425909 464628 580785 774380 824340 851818 1161570 1277727 1703636 2129545 2323140 2555454 4259090 5110908 6388635 8518180 12777270 25554540