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25000272 = 2433115261
BaseRepresentation
bin101111101011…
…1100101010000
31202001010221000
41133113211100
522400002042
62251502000
7422333043
oct137274520
952033830
1025000272
1113126090
128457900
13524437b
14346ac5a
1522dc74c
hex17d7950

25000272 has 80 divisors (see below), whose sum is σ = 78298560. Its totient is φ = 7574400.

The previous prime is 25000267. The next prime is 25000273. The reversal of 25000272 is 27200052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25000273) 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, 2122 + ... + 7382.

It is an arithmetic number, because the mean of its divisors is an integer number (978732).

Almost surely, 225000272 is an apocalyptic number.

25000272 is a gapful number since it is divisible by the number (22) 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 25000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39149280).

25000272 is an abundant number, since it is smaller than the sum of its proper divisors (53298288).

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

25000272 is a wasteful number, since it uses less digits than its factorization.

25000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 25000272 is about 5000.0271999260. The cubic root of 25000272 is about 292.4028342612.

The spelling of 25000272 in words is "twenty-five million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 5261 10522 15783 21044 31566 42088 47349 57871 63132 84176 94698 115742 126264 142047 173613 189396 231484 252528 284094 347226 378792 462968 520839 568188 694452 757584 925936 1041678 1136376 1388904 1562517 2083356 2272752 2777808 3125034 4166712 6250068 8333424 12500136 25000272