Search a number
-
+
4834471005 = 32571310910831
BaseRepresentation
bin1001000000010100…
…00010110001011101
3110110220220120110200
410200022002301131
534400111033010
62115415254113
7230542216440
oct44012026135
913426816420
104834471005
112060a29691
12b2b07a339
135c0783640
1433c0d3657
151d465acc0
hex120282c5d

4834471005 has 96 divisors (see below), whose sum is σ = 10409118720. Its totient is φ = 2021137920.

The previous prime is 4834471001. The next prime is 4834471043. The reversal of 4834471005 is 5001744384.

It is not a de Polignac number, because 4834471005 - 22 = 4834471001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834471001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440940 + ... + 451770.

It is an arithmetic number, because the mean of its divisors is an integer number (108428320).

Almost surely, 24834471005 is an apocalyptic number.

4834471005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4834471005 is an abundant number, since it is smaller than the sum of its proper divisors (5574647715).

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

4834471005 is a wasteful number, since it uses less digits than its factorization.

4834471005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10971 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4834471005 is about 69530.3603111619. The cubic root of 4834471005 is about 1690.8937542321.

The spelling of 4834471005 in words is "four billion, eight hundred thirty-four million, four hundred seventy-one thousand, five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 109 117 195 273 315 327 455 545 585 763 819 981 1365 1417 1635 2289 3815 4095 4251 4905 6867 7085 9919 10831 11445 12753 21255 29757 32493 34335 49595 54155 63765 75817 89271 97479 140803 148785 162465 227451 379085 422409 446355 487395 682353 704015 985621 1137255 1180579 1267227 2112045 2956863 3411765 3541737 4928105 5902895 6336135 8264053 8870589 10625211 14784315 15347527 17708685 24792159 41320265 44352945 46042581 53126055 74376477 76737635 107432689 123960795 138127743 230212905 322298067 371882385 537163445 690638715 966894201 1611490335 4834471005