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5259492 = 22357773
BaseRepresentation
bin10100000100000011100100
3100220012200000
4110010003210
52321300432
6304421300
762463540
oct24040344
910805600
105259492
112a72597
121917830
131121c34
149aca20
156dd57c
hex5040e4

5259492 has 72 divisors (see below), whose sum is σ = 15777216. Its totient is φ = 1500768.

The previous prime is 5259487. The next prime is 5259503. The reversal of 5259492 is 2949525.

It is a happy number.

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

It is a d-powerful number, because it can be written as 5 + 27 + 53 + 96 + 411 + 96 + 211 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6418 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (219128).

Almost surely, 25259492 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 5259492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888608).

5259492 is an abundant number, since it is smaller than the sum of its proper divisors (10517724).

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

5259492 is a wasteful number, since it uses less digits than its factorization.

5259492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5259492 is about 2293.3582362989. The cubic root of 5259492 is about 173.9060134513.

The spelling of 5259492 in words is "five million, two hundred fifty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 773 972 1134 1546 1701 2268 2319 3092 3402 4638 5411 6804 6957 9276 10822 13914 16233 20871 21644 27828 32466 41742 48699 62613 64932 83484 97398 125226 146097 187839 194796 250452 292194 375678 438291 584388 751356 876582 1314873 1753164 2629746 5259492