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25930368 = 27344161
BaseRepresentation
bin110001011101…
…0101010000000
31210210101210000
41202322222000
523114232433
62323440000
7433255512
oct142725200
953711700
1025930368
1113700962
128826000
1354ab819
14362dbb2
152423113
hex18baa80

25930368 has 160 divisors (see below), whose sum is σ = 80346420. Its totient is φ = 8294400.

The previous prime is 25930367. The next prime is 25930381. The reversal of 25930368 is 86303952.

25930368 is a `hidden beast` number, since 2 + 593 + 0 + 3 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 7884864 = 4248^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25930363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 425058 + ... + 425118.

Almost surely, 225930368 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 25930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40173210).

25930368 is an abundant number, since it is smaller than the sum of its proper divisors (54416052).

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

25930368 is an equidigital number, since it uses as much as digits as its factorization.

25930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 25930368 is about 5092.1869565050. The cubic root of 25930368 is about 295.9849030528.

The spelling of 25930368 in words is "twenty-five million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 61 64 72 81 82 96 108 122 123 128 144 162 164 183 192 216 244 246 288 324 328 366 369 384 432 488 492 549 576 648 656 732 738 864 976 984 1098 1107 1152 1296 1312 1464 1476 1647 1728 1952 1968 2196 2214 2501 2592 2624 2928 2952 3294 3321 3456 3904 3936 4392 4428 4941 5002 5184 5248 5856 5904 6588 6642 7503 7808 7872 8784 8856 9882 10004 10368 11712 11808 13176 13284 15006 15744 17568 17712 19764 20008 22509 23424 23616 26352 26568 30012 35136 35424 39528 40016 45018 47232 52704 53136 60024 67527 70272 70848 79056 80032 90036 105408 106272 120048 135054 141696 158112 160064 180072 202581 210816 212544 240096 270108 316224 320128 360144 405162 425088 480192 540216 632448 720288 810324 960384 1080432 1440576 1620648 2160864 2881152 3241296 4321728 6482592 8643456 12965184 25930368