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5264424 = 23321117223
BaseRepresentation
bin10100000101010000101000
3100220110102200
4110011100220
52321430144
6304500200
762514114
oct24052050
910813380
105264424
112a76270
12191a660
131124259
149b0744
156dec69
hex505428

5264424 has 144 divisors (see below), whose sum is σ = 17241120. Its totient is φ = 1436160.

The previous prime is 5264417. The next prime is 5264429. The reversal of 5264424 is 4244625.

Its product of digits (7680) is a multiple of the sum of its prime factors (80).

It is not an unprimeable number, because it can be changed into a prime (5264429) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 228877 + ... + 228899.

It is an arithmetic number, because the mean of its divisors is an integer number (119730).

Almost surely, 25264424 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 5264424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620560).

5264424 is an abundant number, since it is smaller than the sum of its proper divisors (11976696).

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

5264424 is a wasteful number, since it uses less digits than its factorization.

5264424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 5264424 is about 2294.4332633572. The cubic root of 5264424 is about 173.9603556133.

It can be divided in two parts, 526 and 4424, that added together give a triangular number (4950 = T99).

The spelling of 5264424 in words is "five million, two hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 23 24 33 34 36 44 46 51 66 68 69 72 88 92 99 102 132 136 138 153 184 187 198 204 207 253 264 276 289 306 374 391 396 408 414 506 552 561 578 612 748 759 782 792 828 867 1012 1122 1156 1173 1224 1496 1518 1564 1656 1683 1734 2024 2244 2277 2312 2346 2601 3036 3128 3179 3366 3468 3519 4301 4488 4554 4692 5202 6072 6358 6647 6732 6936 7038 8602 9108 9384 9537 10404 12716 12903 13294 13464 14076 17204 18216 19074 19941 20808 25432 25806 26588 28152 28611 34408 38148 38709 39882 51612 53176 57222 59823 73117 76296 77418 79764 103224 114444 119646 146234 154836 159528 219351 228888 239292 292468 309672 438702 478584 584936 658053 877404 1316106 1754808 2632212 5264424