Search a number
-
+
494033880 = 233543671429
BaseRepresentation
bin11101011100100…
…101101111011000
31021102121112002010
4131130211233120
52002433041010
6121004505520
715146135004
oct3534455730
91242545063
10494033880
11233961a6a
1211954b2a0
137b476652
1449881704
152d58a620
hex1d725bd8

494033880 has 128 divisors (see below), whose sum is σ = 1540281600. Its totient is φ = 126669312.

The previous prime is 494033867. The next prime is 494033899. The reversal of 494033880 is 88330494.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345006 + ... + 346434.

It is an arithmetic number, because the mean of its divisors is an integer number (12033450).

Almost surely, 2494033880 is an apocalyptic number.

494033880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494033880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770140800).

494033880 is an abundant number, since it is smaller than the sum of its proper divisors (1046247720).

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

494033880 is a wasteful number, since it uses less digits than its factorization.

494033880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 494033880 is about 22226.8729244579. The cubic root of 494033880 is about 790.5310108292.

The spelling of 494033880 in words is "four hundred ninety-four million, thirty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 67 86 120 129 134 172 201 215 258 268 335 344 402 430 516 536 645 670 804 860 1005 1032 1290 1340 1429 1608 1720 2010 2580 2680 2858 2881 4020 4287 5160 5716 5762 7145 8040 8574 8643 11432 11524 14290 14405 17148 17286 21435 23048 28580 28810 34296 34572 42870 43215 57160 57620 61447 69144 85740 86430 95743 115240 122894 171480 172860 184341 191486 245788 287229 307235 345720 368682 382972 478715 491576 574458 614470 737364 765944 921705 957430 1148916 1228940 1436145 1474728 1843410 1914860 2297832 2457880 2872290 3686820 3829720 4116949 5744580 7373640 8233898 11489160 12350847 16467796 20584745 24701694 32935592 41169490 49403388 61754235 82338980 98806776 123508470 164677960 247016940 494033880