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25252128 = 2533112657
BaseRepresentation
bin110000001010…
…1000100100000
31202111221102000
41200111010200
522431032003
62301124000
7424432236
oct140250440
952457360
1025252128
1113288330
128559600
135301bb5
1434d4956
15233c1a3
hex1815120

25252128 has 96 divisors (see below), whose sum is σ = 80377920. Its totient is φ = 7649280.

The previous prime is 25252111. The next prime is 25252133. The reversal of 25252128 is 82125252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) 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 (27).

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, 8176 + ... + 10832.

It is an arithmetic number, because the mean of its divisors is an integer number (837270).

Almost surely, 225252128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40188960).

25252128 is an abundant number, since it is smaller than the sum of its proper divisors (55125792).

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

25252128 is a wasteful number, since it uses less digits than its factorization.

25252128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2673 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 25252128 is about 5025.1495500134. The cubic root of 25252128 is about 293.3814567510.

The spelling of 25252128 in words is "twenty-five million, two hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 2657 3168 4752 5314 7971 9504 10628 15942 21256 23913 29227 31884 42512 47826 58454 63768 71739 85024 87681 95652 116908 127536 143478 175362 191304 233816 255072 263043 286956 350724 382608 467632 526086 573912 701448 765216 789129 935264 1052172 1147824 1402896 1578258 2104344 2295648 2805792 3156516 4208688 6313032 8417376 12626064 25252128