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516423024 = 243213733779
BaseRepresentation
bin11110110001111…
…111110101110000
31022222202000012200
4132301333311300
52024201014044
6123124423200
715540344325
oct3661776560
91288660180
10516423024
11245564297
12124b47b00
1382cb5370
144c82cb4c
153050e369
hex1ec7fd70

516423024 has 120 divisors (see below), whose sum is σ = 1578180240. Its totient is φ = 156681216.

The previous prime is 516423001. The next prime is 516423049. The reversal of 516423024 is 420324615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134767 + ... + 138545.

It is an arithmetic number, because the mean of its divisors is an integer number (13151502).

Almost surely, 2516423024 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 516423024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789090120).

516423024 is an abundant number, since it is smaller than the sum of its proper divisors (1061757216).

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

516423024 is a wasteful number, since it uses less digits than its factorization.

516423024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 516423024 is about 22724.9427722052. The cubic root of 516423024 is about 802.2970564353.

Adding to 516423024 its reverse (420324615), we get a palindrome (936747639).

The spelling of 516423024 in words is "five hundred sixteen million, four hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 936 949 1168 1314 1752 1872 1898 2628 2847 3504 3779 3796 5256 5694 7558 7592 8541 10512 11337 11388 15116 15184 17082 22674 22776 30232 34011 34164 45348 45552 49127 60464 68022 68328 90696 98254 136044 136656 147381 181392 196508 272088 275867 294762 393016 442143 544176 551734 589524 786032 827601 884286 1103468 1179048 1655202 1768572 2206936 2358096 2482803 3310404 3537144 3586271 4413872 4965606 6620808 7074288 7172542 9931212 10758813 13241616 14345084 19862424 21517626 28690168 32276439 39724848 43035252 57380336 64552878 86070504 129105756 172141008 258211512 516423024