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25530768 = 2433113523
BaseRepresentation
bin110000101100…
…1000110010000
31210001002122000
41201121012100
523013441033
62311114000
7430002504
oct141310620
953032560
1025530768
111345870a
128672900
13539b983
143568304
152394a13
hex1859190

25530768 has 80 divisors (see below), whose sum is σ = 74072640. Its totient is φ = 8418816.

The previous prime is 25530767. The next prime is 25530773. The reversal of 25530768 is 86703552.

It is a super-2 number, since 2×255307682 = 1303640229339648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25530761) 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, 48555 + ... + 49077.

It is an arithmetic number, because the mean of its divisors is an integer number (925908).

Almost surely, 225530768 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 25530768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37036320).

25530768 is an abundant number, since it is smaller than the sum of its proper divisors (48541872).

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

25530768 is a wasteful number, since it uses less digits than its factorization.

25530768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 25530768 is about 5052.7980367317. The cubic root of 25530768 is about 294.4565999597.

The spelling of 25530768 in words is "twenty-five million, five hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 523 678 904 1017 1046 1356 1569 1808 2034 2092 2712 3051 3138 4068 4184 4707 5424 6102 6276 8136 8368 9414 12204 12552 14121 16272 18828 24408 25104 28242 37656 48816 56484 59099 75312 112968 118198 177297 225936 236396 354594 472792 531891 709188 945584 1063782 1418376 1595673 2127564 2836752 3191346 4255128 6382692 8510256 12765384 25530768