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25213272 = 2337223673
BaseRepresentation
bin110000000101…
…1100101011000
31202102222002220
41200023211120
522423311042
62300224040
7424211040
oct140134530
952388086
1025213272
1113261117
12853b020
1352ba2c6
1434c4720
1523308ec
hex180b958

25213272 has 64 divisors (see below), whose sum is σ = 72468480. Its totient is φ = 7160832.

The previous prime is 25213271. The next prime is 25213277. The reversal of 25213272 is 27231252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25213271) 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, 37128 + ... + 37800.

It is an arithmetic number, because the mean of its divisors is an integer number (1132320).

Almost surely, 225213272 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 25213272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36234240).

25213272 is an abundant number, since it is smaller than the sum of its proper divisors (47255208).

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

25213272 is a wasteful number, since it uses less digits than its factorization.

25213272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 25213272 is about 5021.2819080390. The cubic root of 25213272 is about 293.2309020224.

The spelling of 25213272 in words is "twenty-five million, two hundred thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 673 892 1338 1346 1561 1784 2019 2676 2692 3122 4038 4683 4711 5352 5384 6244 8076 9366 9422 12488 14133 16152 18732 18844 28266 37464 37688 56532 113064 150079 300158 450237 600316 900474 1050553 1200632 1800948 2101106 3151659 3601896 4202212 6303318 8404424 12606636 25213272