Search a number
-
+
2845007144 = 237311739473
BaseRepresentation
bin1010100110010011…
…0101110100101000
321100021101100002222
42221210311310220
521311310212034
61150150213212
7130334106320
oct25144656450
97307340088
102845007144
11122aa28a81
12674954208
13364557ba5
141cdbbc280
15119b7a12e
hexa9935d28

2845007144 has 64 divisors (see below), whose sum is σ = 6330147840. Its totient is φ = 1173012480.

The previous prime is 2845007129. The next prime is 2845007153. The reversal of 2845007144 is 4417005482.

It is a super-2 number, since 2×28450071442 = 16188131298822073472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295592 + ... + 305064.

It is an arithmetic number, because the mean of its divisors is an integer number (98908560).

Almost surely, 22845007144 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 2845007144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165073920).

2845007144 is an abundant number, since it is smaller than the sum of its proper divisors (3485140696).

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

2845007144 is a wasteful number, since it uses less digits than its factorization.

2845007144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 2845007144 is about 53338.6083807967. The cubic root of 2845007144 is about 1416.9715169433.

The spelling of 2845007144 in words is "two billion, eight hundred forty-five million, seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 173 217 248 346 434 692 868 1211 1384 1736 2422 4844 5363 9473 9688 10726 18946 21452 37541 37892 42904 66311 75082 75784 132622 150164 265244 293663 300328 530488 587326 1174652 1638829 2055641 2349304 3277658 4111282 6555316 8222564 11471803 13110632 16445128 22943606 45887212 50803699 91774424 101607398 203214796 355625893 406429592 711251786 1422503572 2845007144