Search a number
-
+
25804160382 = 237211131813391
BaseRepresentation
bin11000000010000011…
…000011110101111110
32110121100002011110210
4120002003003311332
5410321331113012
615504304413250
71602310513200
oct300203036576
973540064423
1025804160382
11aa41859690
125001917226
132583014c70
14136b0b6770
15a105bc23c
hex6020c3d7e

25804160382 has 192 divisors, whose sum is σ = 70940233728. Its totient is φ = 6150816000.

The previous prime is 25804160351. The next prime is 25804160399. The reversal of 25804160382 is 28306140852.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 25804160382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7607907 + ... + 7611297.

It is an arithmetic number, because the mean of its divisors is an integer number (369480384).

Almost surely, 225804160382 is an apocalyptic number.

25804160382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25804160382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35470116864).

25804160382 is an abundant number, since it is smaller than the sum of its proper divisors (45136073346).

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

25804160382 is a wasteful number, since it uses less digits than its factorization.

25804160382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 25804160382 in words is "twenty-five billion, eight hundred four million, one hundred sixty thousand, three hundred eighty-two".