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25293144 = 23317471319
BaseRepresentation
bin110000001111…
…1000101011000
31202121000200010
41200133011120
522433340034
62302041520
7424662642
oct140370530
952530603
1025293144
1113306128
1285792a0
135317776
143505892
1523493e9
hex181f158

25293144 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 7760384.

The previous prime is 25293143. The next prime is 25293157. The reversal of 25293144 is 44139252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25293143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18517 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 225293144 is an apocalyptic number.

25293144 is a gapful number since it is divisible by the number (24) 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 25293144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

25293144 is an abundant number, since it is smaller than the sum of its proper divisors (43135656).

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

25293144 is a wasteful number, since it uses less digits than its factorization.

25293144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1388 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 25293144 is about 5029.2289667503. The cubic root of 25293144 is about 293.5402133334.

The spelling of 25293144 in words is "twenty-five million, two hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1319 1598 2397 2638 3196 3957 4794 5276 6392 7914 9588 10552 15828 19176 22423 31656 44846 61993 67269 89692 123986 134538 179384 185979 247972 269076 371958 495944 538152 743916 1053881 1487832 2107762 3161643 4215524 6323286 8431048 12646572 25293144