Search a number
-
+
25869792 = 25313191091
BaseRepresentation
bin110001010101…
…1110111100000
31210200022200110
41202223313200
523110313132
62322251320
7432614064
oct142536740
953608613
1025869792
111366a3a3
1287b6b40
13548a090
143615aa4
1524101cc
hex18abde0

25869792 has 96 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 7534080.

The previous prime is 25869791. The next prime is 25869797. The reversal of 25869792 is 29796852.

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

It is a super-2 number, since 2×258697922 = 1338492276246528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25869791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23167 + ... + 24257.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 225869792 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 25869792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

25869792 is an abundant number, since it is smaller than the sum of its proper divisors (51181728).

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

25869792 is a wasteful number, since it uses less digits than its factorization.

25869792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1128 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 25869792 is about 5086.2355431104. The cubic root of 25869792 is about 295.7542396415.

The spelling of 25869792 in words is "twenty-five million, eight hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1091 1248 1482 1824 1976 2182 2964 3273 3952 4364 5928 6546 7904 8728 11856 13092 14183 17456 20729 23712 26184 28366 34912 41458 42549 52368 56732 62187 82916 85098 104736 113464 124374 165832 170196 226928 248748 269477 331664 340392 453856 497496 538954 663328 680784 808431 994992 1077908 1361568 1616862 1989984 2155816 3233724 4311632 6467448 8623264 12934896 25869792