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3999424 = 2611131923
BaseRepresentation
bin1111010000011011000000
321112012011211
433100123000
52010440144
6221415504
745665062
oct17203300
97465154
103999424
112291910
12140a594
13aa0530
14761732
15540034
hex3d06c0

3999424 has 112 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1520640.

The previous prime is 3999421. The next prime is 3999439. The reversal of 3999424 is 4249993.

3999424 = 3322 + 3332 + ... + 3642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173877 + ... + 173899.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 23999424 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 3999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

3999424 is an abundant number, since it is smaller than the sum of its proper divisors (6241856).

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

3999424 is a wasteful number, since it uses less digits than its factorization.

3999424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 3999424 is about 1999.8559948156. The cubic root of 3999424 is about 158.7324853060.

The spelling of 3999424 in words is "three million, nine hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 19 22 23 26 32 38 44 46 52 64 76 88 92 104 143 152 176 184 208 209 247 253 286 299 304 352 368 416 418 437 494 506 572 598 608 704 736 832 836 874 988 1012 1144 1196 1216 1472 1672 1748 1976 2024 2288 2392 2717 3289 3344 3496 3952 4048 4576 4784 4807 5434 5681 6578 6688 6992 7904 8096 9152 9568 9614 10868 11362 13156 13376 13984 15808 16192 19136 19228 21736 22724 26312 27968 38456 43472 45448 52624 62491 76912 86944 90896 105248 124982 153824 173888 181792 210496 249964 307648 363584 499928 999856 1999712 3999424