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25551540 = 22325722897
BaseRepresentation
bin110000101111…
…0001010110100
31210002011010100
41201132022310
523020122130
62311354100
7430120200
oct141361264
953064110
1025551540
1113472283
128682930
1353a8271
143571b00
15239ac60
hex185e2b4

25551540 has 108 divisors (see below), whose sum is σ = 90191556. Its totient is φ = 5838336.

The previous prime is 25551521. The next prime is 25551541. The reversal of 25551540 is 4515552.

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 19820304 = 2394^2 + 4452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25551541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7372 + ... + 10268.

It is an arithmetic number, because the mean of its divisors is an integer number (835107).

Almost surely, 225551540 is an apocalyptic number.

25551540 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 25551540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45095778).

25551540 is an abundant number, since it is smaller than the sum of its proper divisors (64640016).

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

25551540 is a wasteful number, since it uses less digits than its factorization.

25551540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 25551540 is about 5054.8531135929. The cubic root of 25551540 is about 294.5364355845.

It can be divided in two parts, 2555 and 1540, that added together give a triangular number (4095 = T90).

The spelling of 25551540 in words is "twenty-five million, five hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2897 2940 4410 5794 8691 8820 11588 14485 17382 20279 26073 28970 34764 40558 43455 52146 57940 60837 81116 86910 101395 104292 121674 130365 141953 173820 182511 202790 243348 260730 283906 304185 365022 405580 425859 521460 567812 608370 709765 730044 851718 912555 1216740 1277577 1419530 1703436 1825110 2129295 2555154 2839060 3650220 4258590 5110308 6387885 8517180 12775770 25551540