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25804980 = 2234517937
BaseRepresentation
bin110001001110…
…0000010110100
31210120000210000
41202130002310
523101224410
62321031300
7432224115
oct142340264
953500700
1025804980
1113625733
128785530
135466726
1435da20c
1523eadc0
hex189c0b4

25804980 has 120 divisors (see below), whose sum is σ = 85804488. Its totient is φ = 6469632.

The previous prime is 25804969. The next prime is 25804981. The reversal of 25804980 is 8940852.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 24860196 = 972^2 + 4986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25804981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27072 + ... + 28008.

Almost surely, 225804980 is an apocalyptic number.

25804980 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 25804980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42902244).

25804980 is an abundant number, since it is smaller than the sum of its proper divisors (59999508).

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

25804980 is a wasteful number, since it uses less digits than its factorization.

25804980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25804980 is about 5079.8602342978. The cubic root of 25804980 is about 295.5070471663.

The spelling of 25804980 in words is "twenty-five million, eight hundred four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 937 1020 1377 1530 1620 1836 1874 2295 2754 2811 3060 3748 4590 4685 5508 5622 6885 8433 9180 9370 11244 13770 14055 15929 16866 18740 25299 27540 28110 31858 33732 42165 47787 50598 56220 63716 75897 79645 84330 95574 101196 126495 143361 151794 159290 168660 191148 238935 252990 286722 303588 318580 379485 430083 477870 505980 573444 716805 758970 860166 955740 1290249 1433610 1517940 1720332 2150415 2580498 2867220 4300830 5160996 6451245 8601660 12902490 25804980