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25273968 = 2431747659
BaseRepresentation
bin110000001101…
…0011001110000
31202120001100220
41200122121300
522432231333
62301413040
7424553016
oct140323160
952501326
1025273968
11132a2785
12856a180
13530bb15
1434dc8b6
1523438b3
hex181a670

25273968 has 80 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 7748608.

The previous prime is 25273967. The next prime is 25273973. The reversal of 25273968 is 86937252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25273967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38023 + ... + 38681.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 225273968 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 25273968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

25273968 is an abundant number, since it is smaller than the sum of its proper divisors (45435792).

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

25273968 is a wasteful number, since it uses less digits than its factorization.

25273968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 25273968 is about 5027.3221500119. The cubic root of 25273968 is about 293.4660120630.

The spelling of 25273968 in words is "twenty-five million, two hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 376 408 564 659 752 799 816 1128 1318 1598 1977 2256 2397 2636 3196 3954 4794 5272 6392 7908 9588 10544 11203 12784 15816 19176 22406 30973 31632 33609 38352 44812 61946 67218 89624 92919 123892 134436 179248 185838 247784 268872 371676 495568 526541 537744 743352 1053082 1486704 1579623 2106164 3159246 4212328 6318492 8424656 12636984 25273968