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25185940 = 22513157617
BaseRepresentation
bin110000000010…
…0111010010100
31202101120121121
41200010322110
522421422230
62255453324
7424035253
oct140047224
952346547
1025185940
111324262a
128527244
1352aaa30
1434b879a
15232777a
hex1804e94

25185940 has 48 divisors (see below), whose sum is σ = 57414672. Its totient is φ = 9225216.

The previous prime is 25185913. The next prime is 25185947. The reversal of 25185940 is 4958152.

It can be written as a sum of positive squares in 8 ways, for example, as 9960336 + 15225604 = 3156^2 + 3902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25185896 and 25185905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25185947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40512 + ... + 41128.

It is an arithmetic number, because the mean of its divisors is an integer number (1196139).

Almost surely, 225185940 is an apocalyptic number.

25185940 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 25185940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28707336).

25185940 is an abundant number, since it is smaller than the sum of its proper divisors (32228732).

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

25185940 is a wasteful number, since it uses less digits than its factorization.

25185940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 25185940 is about 5018.5595542944. The cubic root of 25185940 is about 293.1249064607.

The spelling of 25185940 in words is "twenty-five million, one hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 617 628 785 1234 1570 2041 2468 3085 3140 4082 6170 8021 8164 10205 12340 16042 20410 32084 40105 40820 80210 96869 160420 193738 387476 484345 968690 1259297 1937380 2518594 5037188 6296485 12592970 25185940