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5042268 = 223271117107
BaseRepresentation
bin10011001111000001011100
3100111011200200
4103033001130
52242323033
6300023500
760600330
oct23170134
910434620
105042268
112934370
121831b90
1310770ba
149537c0
15699013
hex4cf05c

5042268 has 144 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1221120.

The previous prime is 5042203. The next prime is 5042273. The reversal of 5042268 is 8622405.

5042268 is a modest number, since divided by 2268 gives 504 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47071 + ... + 47177.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 25042268 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 5042268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5042268 is an abundant number, since it is smaller than the sum of its proper divisors (11940516).

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

5042268 is a wasteful number, since it uses less digits than its factorization.

5042268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5042268 is about 2245.4994989979. The cubic root of 5042268 is about 171.4780916462.

It can be divided in two parts, 504 and 2268, that added together give a palindrome (2772).

The spelling of 5042268 in words is "five million, forty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 107 119 126 132 153 154 187 198 204 214 231 238 252 306 308 321 357 374 396 428 462 476 561 612 642 693 714 748 749 924 963 1071 1122 1177 1284 1309 1386 1428 1498 1683 1819 1926 2142 2244 2247 2354 2618 2772 2996 3366 3531 3638 3852 3927 4284 4494 4708 5236 5457 6732 6741 7062 7276 7854 8239 8988 10593 10914 11781 12733 13482 14124 15708 16371 16478 20009 21186 21828 23562 24717 25466 26964 32742 32956 38199 40018 42372 47124 49434 50932 60027 65484 74151 76398 80036 98868 114597 120054 140063 148302 152796 180081 229194 240108 280126 296604 360162 420189 458388 560252 720324 840378 1260567 1680756 2521134 5042268