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25065768 = 23371323499
BaseRepresentation
bin101111110011…
…1100100101000
31202011110202210
41133213210220
522404101033
62253125120
7423025020
oct137474450
952143683
1025065768
1113170312
1284897a0
135268120
143486a80
152301d63
hex17e7928

25065768 has 128 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 6310656.

The previous prime is 25065757. The next prime is 25065779. The reversal of 25065768 is 86756052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25065757) and next prime (25065779).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49983 + ... + 50481.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 225065768 is an apocalyptic number.

25065768 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 25065768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

25065768 is an abundant number, since it is smaller than the sum of its proper divisors (55574232).

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

25065768 is a wasteful number, since it uses less digits than its factorization.

25065768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 25065768 is about 5006.5724802503. The cubic root of 25065768 is about 292.6579583673.

The spelling of 25065768 in words is "twenty-five million, sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 39 42 46 52 56 69 78 84 91 92 104 138 156 161 168 182 184 273 276 299 312 322 364 483 499 546 552 598 644 728 897 966 998 1092 1196 1288 1497 1794 1932 1996 2093 2184 2392 2994 3493 3588 3864 3992 4186 5988 6279 6487 6986 7176 8372 10479 11477 11976 12558 12974 13972 16744 19461 20958 22954 25116 25948 27944 34431 38922 41916 45409 45908 50232 51896 68862 77844 80339 83832 90818 91816 136227 137724 149201 155688 160678 181636 241017 272454 275448 298402 321356 363272 447603 482034 544908 596804 642712 895206 964068 1044407 1089816 1193608 1790412 1928136 2088814 3133221 3580824 4177628 6266442 8355256 12532884 25065768