Search a number
-
+
25728912 = 24321137439
BaseRepresentation
bin110001000100…
…1011110010000
31210102011102200
41202021132100
523041311122
62315243200
7431456256
oct142113620
953364380
1025728912
1113583570
128749500
13543ac11
1435ba5d6
1523d35ac
hex1889790

25728912 has 120 divisors (see below), whose sum is σ = 80857920. Its totient is φ = 7568640.

The previous prime is 25728889. The next prime is 25728917. The reversal of 25728912 is 21982752.

25728912 is a `hidden beast` number, since 2 + 572 + 89 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25728917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58389 + ... + 58827.

It is an arithmetic number, because the mean of its divisors is an integer number (673816).

Almost surely, 225728912 is an apocalyptic number.

25728912 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 25728912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40428960).

25728912 is an abundant number, since it is smaller than the sum of its proper divisors (55129008).

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

25728912 is a wasteful number, since it uses less digits than its factorization.

25728912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 25728912 is about 5072.3674945729. The cubic root of 25728912 is about 295.2163958549.

The spelling of 25728912 in words is "twenty-five million, seven hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 439 444 528 592 666 792 814 878 888 1221 1317 1332 1584 1628 1756 1776 2442 2634 2664 3256 3512 3663 3951 4829 4884 5268 5328 6512 7024 7326 7902 9658 9768 10536 14487 14652 15804 16243 19316 19536 21072 28974 29304 31608 32486 38632 43461 48729 57948 58608 63216 64972 77264 86922 97458 115896 129944 146187 173844 178673 194916 231792 259888 292374 347688 357346 389832 536019 584748 695376 714692 779664 1072038 1169496 1429384 1608057 2144076 2338992 2858768 3216114 4288152 6432228 8576304 12864456 25728912