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25427952 = 2433115351
BaseRepresentation
bin110000011111…
…1111111110000
31202211212121000
41200333333300
523002143302
62305002000
7426063654
oct140777760
952755530
1025427952
1113398440
128623300
135363c34
14353ca64
15237431c
hex183fff0

25427952 has 80 divisors (see below), whose sum is σ = 79637760. Its totient is φ = 7704000.

The previous prime is 25427951. The next prime is 25427953. The reversal of 25427952 is 25972452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25427951) and next prime (25427953).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25427951) 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, 2077 + ... + 7427.

It is an arithmetic number, because the mean of its divisors is an integer number (995472).

Almost surely, 225427952 is an apocalyptic number.

25427952 is a gapful number since it is divisible by the number (22) 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 25427952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39818880).

25427952 is an abundant number, since it is smaller than the sum of its proper divisors (54209808).

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

25427952 is a wasteful number, since it uses less digits than its factorization.

25427952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5367 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 25427952 is about 5042.6136080410. The cubic root of 25427952 is about 294.0607954241.

The spelling of 25427952 in words is "twenty-five million, four hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 5351 10702 16053 21404 32106 42808 48159 58861 64212 85616 96318 117722 128424 144477 176583 192636 235444 256848 288954 353166 385272 470888 529749 577908 706332 770544 941776 1059498 1155816 1412664 1589247 2118996 2311632 2825328 3178494 4237992 6356988 8475984 12713976 25427952