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25320768 = 2631119631
BaseRepresentation
bin110000010010…
…1110101000000
31202122102120020
41200211311000
522440231033
62302413440
7425136324
oct140456500
952572506
1025320768
1113324960
128591280
135327205
143511984
1523526b3
hex1825d40

25320768 has 112 divisors (see below), whose sum is σ = 77053440. Its totient is φ = 7257600.

The previous prime is 25320721. The next prime is 25320773. The reversal of 25320768 is 86702352.

It is a super-2 number, since 2×253207682 = 1282282584219648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39813 + ... + 40443.

Almost surely, 225320768 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 25320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38526720).

25320768 is an abundant number, since it is smaller than the sum of its proper divisors (51732672).

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

25320768 is a wasteful number, since it uses less digits than its factorization.

25320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 25320768 is about 5031.9745627338. The cubic root of 25320768 is about 293.6470381268.

The spelling of 25320768 in words is "twenty-five million, three hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 631 704 836 912 1056 1216 1254 1262 1672 1824 1893 2112 2508 2524 3344 3648 3786 5016 5048 6688 6941 7572 10032 10096 11989 13376 13882 15144 20064 20192 20823 23978 27764 30288 35967 40128 40384 41646 47956 55528 60576 71934 83292 95912 111056 121152 131879 143868 166584 191824 222112 263758 287736 333168 383648 395637 444224 527516 575472 666336 767296 791274 1055032 1150944 1332672 1582548 2110064 2301888 3165096 4220128 6330192 8440256 12660384 25320768