Search a number
-
+
486050058 = 23513194049
BaseRepresentation
bin11100111110001…
…000100100001010
31020212120220100000
4130332020210022
51443412100213
6120121423430
715021233364
oct3476104412
91225526300
10486050058
1122a3a966a
1211693ab76
137990c6b0
14487a3d34
152ca0ec73
hex1cf8890a

486050058 has 96 divisors (see below), whose sum is σ = 1238328000. Its totient is φ = 141647616.

The previous prime is 486050041. The next prime is 486050087. The reversal of 486050058 is 850050684.

It is a happy number.

486050058 is a `hidden beast` number, since 48 + 60 + 500 + 58 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 118018 + ... + 122066.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 2486050058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486050058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

486050058 is an abundant number, since it is smaller than the sum of its proper divisors (752277942).

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

486050058 is a wasteful number, since it uses less digits than its factorization.

486050058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 486050058 is about 22046.5429943109. The cubic root of 486050058 is about 786.2494109723.

The spelling of 486050058 in words is "four hundred eighty-six million, fifty thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 243 247 342 351 486 494 513 702 741 1026 1053 1482 1539 2106 2223 3078 3159 4049 4446 4617 6318 6669 8098 9234 12147 13338 20007 24294 36441 40014 52637 60021 72882 76931 105274 109323 120042 153862 157911 218646 230793 315822 327969 461586 473733 655938 692379 947466 983907 1000103 1384758 1421199 1967814 2000206 2077137 2842398 3000309 4154274 4263597 6000618 6231411 8527194 9000927 12462822 12790791 18001854 18694233 25581582 27002781 37388466 54005562 81008343 162016686 243025029 486050058