Search a number
-
+
25888896 = 273411227
BaseRepresentation
bin110001011000…
…0100010000000
31210201021220000
41202300202000
523111421041
62322520000
7433023555
oct142604200
953637800
1025888896
1113682790
128806000
135495997
14361ca2c
152415bb6
hex18b0880

25888896 has 160 divisors (see below), whose sum is σ = 84419280. Its totient is φ = 7810560.

The previous prime is 25888883. The next prime is 25888897. The reversal of 25888896 is 69888852.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25888897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113935 + ... + 114161.

Almost surely, 225888896 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 25888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42209640).

25888896 is an abundant number, since it is smaller than the sum of its proper divisors (58530384).

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

25888896 is a wasteful number, since it uses less digits than its factorization.

25888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 25888896 is about 5088.1132062878. The cubic root of 25888896 is about 295.8270233572.

The spelling of 25888896 in words is "twenty-five million, eight hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 227 264 288 297 324 352 384 396 432 454 528 576 594 648 681 704 792 864 891 908 1056 1152 1188 1296 1362 1408 1584 1728 1782 1816 2043 2112 2376 2497 2592 2724 3168 3456 3564 3632 4086 4224 4752 4994 5184 5448 6129 6336 7128 7264 7491 8172 9504 9988 10368 10896 12258 12672 14256 14528 14982 16344 18387 19008 19976 21792 22473 24516 28512 29056 29964 32688 36774 38016 39952 43584 44946 49032 57024 59928 65376 67419 73548 79904 87168 89892 98064 114048 119856 130752 134838 147096 159808 179784 196128 202257 239712 261504 269676 294192 319616 359568 392256 404514 479424 539352 588384 719136 784512 809028 958848 1078704 1176768 1438272 1618056 2157408 2353536 2876544 3236112 4314816 6472224 8629632 12944448 25888896