Search a number
-
+
845495456 = 25132397911
BaseRepresentation
bin110010011001010…
…011110010100000
32011220221121201112
4302121103302200
53212421323311
6215521522452
726644410221
oct6231236240
92156847645
10845495456
113a4295283
121b71a3428
13106221b90
148040d248
154e36228b
hex32653ca0

845495456 has 96 divisors (see below), whose sum is σ = 1891911168. Its totient is φ = 369008640.

The previous prime is 845495447. The next prime is 845495467. The reversal of 845495456 is 654594548.

It is a super-2 number, since 2×8454954562 = 1429725132233295872, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 927641 + ... + 928551.

It is an arithmetic number, because the mean of its divisors is an integer number (19707408).

Almost surely, 2845495456 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 845495456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945955584).

845495456 is an abundant number, since it is smaller than the sum of its proper divisors (1046415712).

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

845495456 is a wasteful number, since it uses less digits than its factorization.

845495456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 50.

The square root of 845495456 is about 29077.4045609301. The cubic root of 845495456 is about 945.5919346962.

The spelling of 845495456 in words is "eight hundred forty-five million, four hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 97 104 184 194 208 299 368 388 416 598 736 776 911 1196 1261 1552 1822 2231 2392 2522 3104 3644 4462 4784 5044 7288 8924 9568 10088 11843 14576 17848 20176 20953 23686 29003 29152 35696 40352 41906 47372 58006 71392 83812 88367 94744 116012 167624 176734 189488 232024 272389 335248 353468 378976 464048 544778 670496 706936 928096 1089556 1148771 1413872 2032441 2179112 2297542 2827744 4064882 4358224 4595084 8129764 8716448 9190168 16259528 18380336 26421733 32519056 36760672 52843466 65038112 105686932 211373864 422747728 845495456