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5000424 = 23311133147
BaseRepresentation
bin10011000100110011101000
3100102001021220
4103010303220
52240003144
6255102040
760334332
oct23046350
910361256
105000424
112905990
121811920
131061040
14942452
1568b919
hex4c4ce8

5000424 has 128 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1324800.

The previous prime is 5000423. The next prime is 5000473. The reversal of 5000424 is 4240005.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106369 + ... + 106415.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 25000424 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 5000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

5000424 is an abundant number, since it is smaller than the sum of its proper divisors (10482456).

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

5000424 is a wasteful number, since it uses less digits than its factorization.

5000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5000424 is about 2236.1627847722. The cubic root of 5000424 is about 171.0024280631.

Adding to 5000424 its reverse (4240005), we get a palindrome (9240429).

The spelling of 5000424 in words is "five million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 47 52 62 66 78 88 93 94 104 124 132 141 143 156 186 188 248 264 282 286 312 341 372 376 403 429 517 564 572 611 682 744 806 858 1023 1034 1128 1144 1209 1222 1364 1457 1551 1612 1716 1833 2046 2068 2418 2444 2728 2914 3102 3224 3432 3666 4092 4136 4371 4433 4836 4888 5828 6204 6721 7332 8184 8742 8866 9672 11656 12408 13299 13442 14664 16027 17484 17732 18941 20163 26598 26884 32054 34968 35464 37882 40326 48081 53196 53768 56823 64108 75764 80652 96162 106392 113646 128216 151528 161304 192324 208351 227292 384648 416702 454584 625053 833404 1250106 1666808 2500212 5000424