Search a number
-
+
25753028 = 22721759131
BaseRepresentation
bin110001000111…
…1010111000100
31210110101111212
41202033113010
523043044103
62315550552
7431616500
oct142172704
953411455
1025753028
111359a6a4
12875b458
135448ba2
1435c5300
1523da7d8
hex188f5c4

25753028 has 72 divisors (see below), whose sum is σ = 56881440. Its totient is φ = 10133760.

The previous prime is 25753027. The next prime is 25753051. The reversal of 25753028 is 82035752.

It is a junction number, because it is equal to n+sod(n) for n = 25752985 and 25753003.

It is not an unprimeable number, because it can be changed into a prime (25753027) 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, 196523 + ... + 196653.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 225753028 is an apocalyptic number.

25753028 is a gapful number since it is divisible by the number (28) 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 25753028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440720).

25753028 is an abundant number, since it is smaller than the sum of its proper divisors (31128412).

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

25753028 is a wasteful number, since it uses less digits than its factorization.

25753028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 25753028 is about 5074.7441314809. The cubic root of 25753028 is about 295.3086036066.

The spelling of 25753028 in words is "twenty-five million, seven hundred fifty-three thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 59 68 98 118 119 131 196 236 238 262 413 476 524 826 833 917 1003 1652 1666 1834 2006 2227 2891 3332 3668 4012 4454 5782 6419 7021 7729 8908 11564 12838 14042 15458 15589 25676 28084 30916 31178 49147 54103 62356 98294 108206 109123 131393 196588 216412 218246 262786 378721 436492 525572 757442 919751 1514884 1839502 3679004 6438257 12876514 25753028