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253428 = 22372431
BaseRepresentation
bin111101110111110100
3110212122020
4331313310
531102203
65233140
72103600
oct756764
9425566
10253428
1116344a
121027b0
138b476
1468500
1550153
hex3ddf4

253428 has 36 divisors (see below), whose sum is σ = 689472. Its totient is φ = 72240.

The previous prime is 253427. The next prime is 253433. The reversal of 253428 is 824352.

It is a junction number, because it is equal to n+sod(n) for n = 253398 and 253407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253428.

It is not an unprimeable number, because it can be changed into a prime (253423) 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, 373 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2253428 is an apocalyptic number.

253428 is a gapful number since it is divisible by the number (28) 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 253428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

253428 is an abundant number, since it is smaller than the sum of its proper divisors (436044).

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

253428 is a wasteful number, since it uses less digits than its factorization.

253428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 253428 is about 503.4163286982. The cubic root of 253428 is about 63.2826803365.

The spelling of 253428 in words is "two hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 431 588 862 1293 1724 2586 3017 5172 6034 9051 12068 18102 21119 36204 42238 63357 84476 126714 253428