[go: up one dir, main page]

Search a number
-
+
25699968 = 273273187
BaseRepresentation
bin110001000001…
…0011010000000
31210100200201200
41202002122000
523034344333
62314501200
7431306010
oct142023200
953320650
1025699968
1113563848
128734800
13542a9a8
1435adc40
1523c9c13
hex1882680

25699968 has 96 divisors (see below), whose sum is σ = 84545760. Its totient is φ = 7340544.

The previous prime is 25699963. The next prime is 25699969. The reversal of 25699968 is 86999652.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25699963) 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 11 ways as a sum of consecutive naturals, for example, 6471 + ... + 9657.

It is an arithmetic number, because the mean of its divisors is an integer number (880685).

Almost surely, 225699968 is an apocalyptic number.

25699968 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 25699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42272880).

25699968 is an abundant number, since it is smaller than the sum of its proper divisors (58845792).

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

25699968 is a wasteful number, since it uses less digits than its factorization.

25699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3199 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 25699968 is about 5069.5135861343. The cubic root of 25699968 is about 295.1056520928.

The spelling of 25699968 in words is "twenty-five million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 3187 4032 6374 8064 9561 12748 19122 22309 25496 28683 38244 44618 50992 57366 66927 76488 89236 101984 114732 133854 152976 178472 200781 203968 229464 267708 305952 356944 401562 407936 458928 535416 611904 713888 803124 917856 1070832 1223808 1427776 1606248 1835712 2141664 2855552 3212496 3671424 4283328 6424992 8566656 12849984 25699968