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25192980 = 22325178233
BaseRepresentation
bin110000000011…
…0101000010100
31202101221021100
41200012220110
522422133410
62255550100
7424064631
oct140065024
952357240
1025192980
111324794a
12852b330
1352b0cb7
1434bb188
1523298c0
hex1806a14

25192980 has 72 divisors (see below), whose sum is σ = 80923752. Its totient is φ = 6322176.

The previous prime is 25192961. The next prime is 25193009. The reversal of 25192980 is 8929152.

It can be written as a sum of positive squares in 4 ways, for example, as 2268036 + 22924944 = 1506^2 + 4788^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057 + ... + 7176.

It is an arithmetic number, because the mean of its divisors is an integer number (1123941).

Almost surely, 225192980 is an apocalyptic number.

25192980 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 25192980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40461876).

25192980 is an abundant number, since it is smaller than the sum of its proper divisors (55730772).

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

25192980 is a wasteful number, since it uses less digits than its factorization.

25192980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 25192980 is about 5019.2609017663. The cubic root of 25192980 is about 293.1522154420.

The spelling of 25192980 in words is "twenty-five million, one hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 8233 16466 24699 32932 41165 49398 74097 82330 98796 123495 139961 148194 164660 246990 279922 296388 370485 419883 493980 559844 699805 740970 839766 1259649 1399610 1481940 1679532 2099415 2519298 2799220 4198830 5038596 6298245 8397660 12596490 25192980