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4838583090 = 2351123793517
BaseRepresentation
bin1001000000110011…
…01110101100110010
3110111012122111012010
410200121232230302
534402134124330
62120043343350
7230622164145
oct44031565462
913435574163
104838583090
112063288100
12b30521b56
135c1593223
1433c88405c
151d4bbe3b0
hex12066eb32

4838583090 has 96 divisors (see below), whose sum is σ = 12801579840. Its totient is φ = 1169562240.

The previous prime is 4838583053. The next prime is 4838583107. The reversal of 4838583090 is 903858384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374012 + ... + 1377528.

It is an arithmetic number, because the mean of its divisors is an integer number (133349790).

Almost surely, 24838583090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4838583090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400789920).

4838583090 is an abundant number, since it is smaller than the sum of its proper divisors (7962996750).

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

4838583090 is a wasteful number, since it uses less digits than its factorization.

4838583090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4838583090 is about 69559.9244536680. The cubic root of 4838583090 is about 1691.3730295853.

The spelling of 4838583090 in words is "four billion, eight hundred thirty-eight million, five hundred eighty-three thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 379 605 726 758 1137 1210 1815 1895 2274 3517 3630 3790 4169 5685 7034 8338 10551 11370 12507 17585 20845 21102 25014 35170 38687 41690 45859 52755 62535 77374 91718 105510 116061 125070 137577 193435 229295 232122 275154 386870 425557 458590 580305 687885 851114 1160610 1276671 1332943 1375770 2127785 2553342 2665886 3998829 4255570 6383355 6664715 7997658 12766710 13329430 14662373 19994145 29324746 39988290 43987119 73311865 87974238 146623730 161286103 219935595 322572206 439871190 483858309 806430515 967716618 1612861030 2419291545 4838583090