Search a number
-
+
504028008 = 233411312281
BaseRepresentation
bin11110000010101…
…101101101101000
31022010102021110000
4132002231231220
52013012344013
6122003023000
715330111261
oct3602555550
91263367400
10504028008
11239568780
1212096aa60
1380565633
144ad23968
152e3b1973
hex1e0adb68

504028008 has 160 divisors (see below), whose sum is σ = 1590462720. Its totient is φ = 147744000.

The previous prime is 504027967. The next prime is 504028009. The reversal of 504028008 is 800820405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (504028009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219828 + ... + 222108.

It is an arithmetic number, because the mean of its divisors is an integer number (9940392).

Almost surely, 2504028008 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 504028008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795231360).

504028008 is an abundant number, since it is smaller than the sum of its proper divisors (1086434712).

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

504028008 is a wasteful number, since it uses less digits than its factorization.

504028008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 504028008 is about 22450.5680997163. The cubic root of 504028008 is about 795.8261827658.

The spelling of 504028008 in words is "five hundred four million, twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 558 594 648 682 744 792 837 891 1023 1116 1188 1364 1674 1782 2046 2232 2281 2376 2511 2728 3069 3348 3564 4092 4562 5022 6138 6696 6843 7128 8184 9124 9207 10044 12276 13686 18248 18414 20088 20529 24552 25091 27372 27621 36828 41058 50182 54744 55242 61587 70711 73656 75273 82116 100364 110484 123174 141422 150546 164232 184761 200728 212133 220968 225819 246348 282844 301092 369522 424266 451638 492696 565688 602184 636399 677457 739044 777821 848532 903276 1272798 1354914 1478088 1555642 1697064 1806552 1909197 2032371 2333463 2545596 2709828 3111284 3818394 4064742 4666926 5091192 5419656 5727591 6222568 7000389 7636788 8129484 9333852 11455182 14000778 15273576 16258968 18667704 21001167 22910364 28001556 42002334 45820728 56003112 63003501 84004668 126007002 168009336 252014004 504028008