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25085920 = 255831889
BaseRepresentation
bin101111110110…
…0011111100000
31202012111102011
41133230133200
522410222140
62253402304
7423140536
oct137543740
952174364
1025085920
1113184472
128499394
135274352
143490156
152307cea
hex17ec7e0

25085920 has 48 divisors (see below), whose sum is σ = 60011280. Its totient is φ = 9908224.

The previous prime is 25085917. The next prime is 25085923. The reversal of 25085920 is 2958052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25085917) and next prime (25085923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25085923) 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, 12336 + ... + 14224.

It is an arithmetic number, because the mean of its divisors is an integer number (1250235).

Almost surely, 225085920 is an apocalyptic number.

25085920 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 25085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30005640).

25085920 is an abundant number, since it is smaller than the sum of its proper divisors (34925360).

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

25085920 is a wasteful number, since it uses less digits than its factorization.

25085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 25085920 is about 5008.5846304121. The cubic root of 25085920 is about 292.7363662765.

The spelling of 25085920 in words is "twenty-five million, eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 1889 2656 3320 3778 6640 7556 9445 13280 15112 18890 30224 37780 60448 75560 151120 156787 302240 313574 627148 783935 1254296 1567870 2508592 3135740 5017184 6271480 12542960 25085920