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25679268 = 223529911
BaseRepresentation
bin110000111110…
…1010110100100
31210022122100000
41201331112210
523033214033
62314221300
7431161446
oct141752644
953278300
1025679268
111354a23a
128724830
135421444
1435a6496
1523c3a13
hex187d5a4

25679268 has 72 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 8255520.

The previous prime is 25679267. The next prime is 25679321. The reversal of 25679268 is 86297652.

Its product of digits (362880) is a multiple of the sum of its prime divisors (945).

It is not an unprimeable number, because it can be changed into a prime (25679261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27733 + ... + 28643.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 225679268 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 25679268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

25679268 is an abundant number, since it is smaller than the sum of its proper divisors (44034012).

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

25679268 is a wasteful number, since it uses less digits than its factorization.

25679268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 25679268 is about 5067.4715588743. The cubic root of 25679268 is about 295.0264000121.

It can be divided in two parts, 256 and 79268, that added together give a square (79524 = 2822).

The spelling of 25679268 in words is "twenty-five million, six hundred seventy-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 911 972 1044 1566 1822 2349 2733 3132 3644 4698 5466 7047 8199 9396 10932 14094 16398 24597 26419 28188 32796 49194 52838 73791 79257 98388 105676 147582 158514 221373 237771 295164 317028 442746 475542 713313 885492 951084 1426626 2139939 2853252 4279878 6419817 8559756 12839634 25679268