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25868928 = 2732329101
BaseRepresentation
bin110001010101…
…1101010000000
31210200021111110
41202223222000
523110301203
62322243320
7432611421
oct142535200
953607443
1025868928
1113669788
1287b6540
135489877
143615648
15240ed03
hex18aba80

25868928 has 128 divisors (see below), whose sum is σ = 74908800. Its totient is φ = 7884800.

The previous prime is 25868893. The next prime is 25868971. The reversal of 25868928 is 82986852.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256078 + ... + 256178.

It is an arithmetic number, because the mean of its divisors is an integer number (585225).

Almost surely, 225868928 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 25868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454400).

25868928 is an abundant number, since it is smaller than the sum of its proper divisors (49039872).

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

25868928 is a wasteful number, since it uses less digits than its factorization.

25868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 25868928 is about 5086.1506072864. The cubic root of 25868928 is about 295.7509470688.

It can be divided in two parts, 25868 and 928, that added together give a triangular number (26796 = T231).

The spelling of 25868928 in words is "twenty-five million, eight hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 101 116 128 138 174 184 192 202 232 276 303 348 368 384 404 464 552 606 667 696 736 808 928 1104 1212 1334 1392 1472 1616 1856 2001 2208 2323 2424 2668 2784 2929 2944 3232 3712 4002 4416 4646 4848 5336 5568 5858 6464 6969 8004 8787 8832 9292 9696 10672 11136 11716 12928 13938 16008 17574 18584 19392 21344 23432 27876 32016 35148 37168 38784 42688 46864 55752 64032 67367 70296 74336 85376 93728 111504 128064 134734 140592 148672 187456 202101 223008 256128 269468 281184 297344 374912 404202 446016 538936 562368 808404 892032 1077872 1124736 1616808 2155744 3233616 4311488 6467232 8622976 12934464 25868928