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25795840 = 28572879
BaseRepresentation
bin110001001100…
…1110100000000
31210112120020111
41202121310000
523100431330
62320521104
7432155350
oct142316400
953476214
1025795840
1113619884
128780194
135462515
1435d6b60
1523e832a
hex1899d00

25795840 has 72 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 8841216.

The previous prime is 25795837. The next prime is 25795843. The reversal of 25795840 is 4859752.

It is an interprime number because it is at equal distance from previous prime (25795837) and next prime (25795843).

It is a super-2 number, since 2×257958402 = 1330850722611200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25795793 and 25795802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25795843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7521 + ... + 10399.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 225795840 is an apocalyptic number.

25795840 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 25795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

25795840 is an abundant number, since it is smaller than the sum of its proper divisors (44844800).

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

25795840 is an equidigital number, since it uses as much as digits as its factorization.

25795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 25795840 is about 5078.9605235717. The cubic root of 25795840 is about 295.4721539873.

The spelling of 25795840 in words is "twenty-five million, seven hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2879 4480 5758 8960 11516 14395 20153 23032 28790 40306 46064 57580 80612 92128 100765 115160 161224 184256 201530 230320 322448 368512 403060 460640 644896 737024 806120 921280 1289792 1612240 1842560 2579584 3224480 3685120 5159168 6448960 12897920 25795840