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8244252 = 22321719709
BaseRepresentation
bin11111011100110000011100
3120111211222200
4133130300130
54102304002
6452411500
7130034502
oct37346034
916454880
108244252
114721035
122916b90
131928673
141148672
15accb1c
hex7dcc1c

8244252 has 72 divisors (see below), whose sum is σ = 23259600. Its totient is φ = 2446848.

The previous prime is 8244221. The next prime is 8244263. The reversal of 8244252 is 2524428.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11274 + ... + 11982.

It is an arithmetic number, because the mean of its divisors is an integer number (323050).

Almost surely, 28244252 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 8244252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11629800).

8244252 is an abundant number, since it is smaller than the sum of its proper divisors (15015348).

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

8244252 is a wasteful number, since it uses less digits than its factorization.

8244252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 750 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 8244252 is about 2871.2805505558. The cubic root of 8244252 is about 202.0150627594.

The spelling of 8244252 in words is "eight million, two hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 709 969 1292 1418 1938 2127 2836 2907 3876 4254 5814 6381 8508 11628 12053 12762 13471 24106 25524 26942 36159 40413 48212 53884 72318 80826 108477 121239 144636 161652 216954 229007 242478 433908 458014 484956 687021 916028 1374042 2061063 2748084 4122126 8244252