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25380880 = 245761743
BaseRepresentation
bin110000011010…
…0100000010000
31202202111000121
41200310200100
522444142010
62304000024
7425506510
oct140644020
952674017
1025380880
1113366038
128600014
135348695
143529840
1523653da
hex1834810

25380880 has 80 divisors (see below), whose sum is σ = 68638464. Its totient is φ = 8547840.

The previous prime is 25380863. The next prime is 25380899. The reversal of 25380880 is 8808352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33789 + ... + 34531.

Almost surely, 225380880 is an apocalyptic number.

25380880 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 25380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319232).

25380880 is an abundant number, since it is smaller than the sum of its proper divisors (43257584).

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

25380880 is a wasteful number, since it uses less digits than its factorization.

25380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 25380880 is about 5037.9440250960. The cubic root of 25380880 is about 293.8792290915.

The spelling of 25380880 in words is "twenty-five million, three hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 743 854 976 1220 1486 1708 2135 2440 2972 3416 3715 4270 4880 5201 5944 6832 7430 8540 10402 11888 14860 17080 20804 26005 29720 34160 41608 45323 52010 59440 83216 90646 104020 181292 208040 226615 317261 362584 416080 453230 634522 725168 906460 1269044 1586305 1812920 2538088 3172610 3625840 5076176 6345220 12690440 25380880