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890256993 = 32943237973
BaseRepresentation
bin110101000100000…
…011111001100001
32022001011202000020
4311010003321201
53310401210433
6224201144053
731030026303
oct6504037141
92261152006
10890256993
1141758828a
1220a18b029
13112594ab2
1486341973
1553254cb3
hex35103e61

890256993 has 16 divisors (see below), whose sum is σ = 1256502720. Its totient is φ = 559710144.

The previous prime is 890256967. The next prime is 890257057. The reversal of 890256993 is 399652098.

It is a de Polignac number, because none of the positive numbers 2k-890256993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (890257993) 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 15 ways as a sum of consecutive naturals, for example, 115246 + ... + 122727.

It is an arithmetic number, because the mean of its divisors is an integer number (78531420).

Almost surely, 2890256993 is an apocalyptic number.

It is an amenable number.

890256993 is a deficient number, since it is larger than the sum of its proper divisors (366245727).

890256993 is a wasteful number, since it uses less digits than its factorization.

890256993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238048.

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 890256993 is about 29837.1746819299. The cubic root of 890256993 is about 961.9927475706.

The spelling of 890256993 in words is "eight hundred ninety million, two hundred fifty-six thousand, nine hundred ninety-three".

Divisors: 1 3 29 43 87 129 1247 3741 237973 713919 6901217 10232839 20703651 30698517 296752331 890256993