Search a number
-
+
2543104452 = 2237431016971
BaseRepresentation
bin1001011110010100…
…1011000111000100
320120020022002110210
42113211023013010
520202013320302
61100203315420
7120010013460
oct22745130704
96506262423
102543104452
111095575019
125ab81bb70
13316b42045
141a1a714a0
15ed3e266c
hex9794b1c4

2543104452 has 96 divisors (see below), whose sum is σ = 7009035264. Its totient is φ = 702576000.

The previous prime is 2543104433. The next prime is 2543104463. The reversal of 2543104452 is 2544013452.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361327 + ... + 368297.

It is an arithmetic number, because the mean of its divisors is an integer number (73010784).

Almost surely, 22543104452 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 2543104452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504517632).

2543104452 is an abundant number, since it is smaller than the sum of its proper divisors (4465930812).

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

2543104452 is a wasteful number, since it uses less digits than its factorization.

2543104452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2543104452 is about 50429.2023732282. The cubic root of 2543104452 is about 1364.9646351315.

The spelling of 2543104452 in words is "two billion, five hundred forty-three million, one hundred four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 101 129 172 202 258 301 303 404 516 602 606 707 903 1204 1212 1414 1806 2121 2828 3612 4242 4343 6971 8484 8686 13029 13942 17372 20913 26058 27884 30401 41826 48797 52116 60802 83652 91203 97594 121604 146391 182406 195188 292782 299753 364812 585564 599506 704071 899259 1199012 1408142 1798518 2098271 2112213 2816284 3597036 4196542 4224426 4928497 6294813 8393084 8448852 9856994 12589626 14785491 19713988 25179252 29570982 30275053 59141964 60550106 90825159 121100212 181650318 211925371 363300636 423850742 635776113 847701484 1271552226 2543104452