Search a number
-
+
25800096 = 253738393
BaseRepresentation
bin110001001101…
…0110110100000
31210112210002010
41202122312200
523101100341
62320552520
7432203640
oct142326640
953483063
1025800096
1113621aa3
128782740
13546443a
1435d8520
1523e9716
hex189ada0

25800096 has 48 divisors (see below), whose sum is σ = 77402304. Its totient is φ = 7371264.

The previous prime is 25800083. The next prime is 25800107. The reversal of 25800096 is 69000852.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18525 + ... + 19868.

It is an arithmetic number, because the mean of its divisors is an integer number (1612548).

Almost surely, 225800096 is an apocalyptic number.

It is an amenable number.

25800096 is an abundant number, since it is smaller than the sum of its proper divisors (51602208).

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

25800096 is a wasteful number, since it uses less digits than its factorization.

25800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38413 (or 38405 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 25800096 is about 5079.3794896621. The cubic root of 25800096 is about 295.4884028648.

The spelling of 25800096 in words is "twenty-five million, eight hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 38393 76786 115179 153572 230358 268751 307144 460716 537502 614288 806253 921432 1075004 1228576 1612506 1842864 2150008 3225012 3685728 4300016 6450024 8600032 12900048 25800096