Search a number
-
+
2033460996 = 2237231281397
BaseRepresentation
bin111100100110100…
…0010011100000100
312020201022112002020
41321031002130010
513131031222441
6533440043140
7101251063500
oct17115023404
95221275066
102033460996
11953921386
124890034b0
13265391778
141540c9300
15bd7c1e66
hex79342704

2033460996 has 144 divisors (see below), whose sum is σ = 5732116992. Its totient is φ = 558835200.

The previous prime is 2033460991. The next prime is 2033461007. The reversal of 2033460996 is 6990643302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2033460991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5121870 + ... + 5122266.

It is an arithmetic number, because the mean of its divisors is an integer number (39806368).

Almost surely, 22033460996 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 2033460996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866058496).

2033460996 is an abundant number, since it is smaller than the sum of its proper divisors (3698655996).

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

2033460996 is a wasteful number, since it uses less digits than its factorization.

2033460996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 2033460996 is about 45093.9130703912. The cubic root of 2033460996 is about 1266.9085940794.

The spelling of 2033460996 in words is "two billion, thirty-three million, four hundred sixty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 281 294 372 397 434 562 588 651 794 843 868 1124 1191 1302 1519 1588 1686 1967 2382 2604 2779 3038 3372 3934 4557 4764 5558 5901 6076 7868 8337 8711 9114 11116 11802 12307 13769 16674 17422 18228 19453 23604 24614 26133 27538 33348 34844 36921 38906 41307 49228 52266 55076 58359 60977 73842 77812 82614 86149 104532 111557 116718 121954 147684 165228 172298 182931 223114 233436 243908 258447 334671 344596 365862 426839 446228 516894 603043 669342 731724 780899 853678 1033788 1206086 1280517 1338684 1561798 1707356 1809129 2342697 2412172 2561034 3123596 3458267 3618258 4685394 5122068 5466293 6916534 7236516 9370788 10374801 10932586 13833068 16398879 20749602 21865172 24207869 32797758 41499204 48415738 65595516 72623607 96831476 145247214 169455083 290494428 338910166 508365249 677820332 1016730498 2033460996