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253314828 = 223213541271
BaseRepresentation
bin11110001100101…
…00011100001100
3122122122201121200
433012110130030
51004322033303
641045225500
76164066124
oct1706243414
9578581550
10253314828
1111aa981a8
1270a02290
1340633440
14258ddc84
151738b3a3
hexf19470c

253314828 has 36 divisors (see below), whose sum is σ = 689580528. Its totient is φ = 77942880.

The previous prime is 253314823. The next prime is 253314833. The reversal of 253314828 is 828413352.

It is an interprime number because it is at equal distance from previous prime (253314823) and next prime (253314833).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 253314792 and 253314801.

It is not an unprimeable number, because it can be changed into a prime (253314823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270168 + ... + 271103.

Almost surely, 2253314828 is an apocalyptic number.

It is an amenable number.

253314828 is an abundant number, since it is smaller than the sum of its proper divisors (436265700).

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

253314828 is a wasteful number, since it uses less digits than its factorization.

253314828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541294 (or 541289 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 253314828 is about 15915.8671771286. The cubic root of 253314828 is about 632.7325899681.

The spelling of 253314828 in words is "two hundred fifty-three million, three hundred fourteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 541271 1082542 1623813 2165084 3247626 4871439 6495252 7036523 9742878 14073046 19485756 21109569 28146092 42219138 63328707 84438276 126657414 253314828