Search a number
-
+
4841291312 = 24112131491291
BaseRepresentation
bin1001000001001000…
…00011111000110000
3110111101202002011122
410200210003320300
534403332310222
62120221401412
7230654203634
oct44044037060
913441662148
104841291312
112064867900
12b31409268
135c2000b20
1433cd8adc4
151d5056a42
hex120903e30

4841291312 has 120 divisors (see below), whose sum is σ = 11186523600. Its totient is φ = 2016115200.

The previous prime is 4841291309. The next prime is 4841291327. The reversal of 4841291312 is 2131921484.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3749387 + ... + 3750677.

It is an arithmetic number, because the mean of its divisors is an integer number (93221030).

Almost surely, 24841291312 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 4841291312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593261800).

4841291312 is an abundant number, since it is smaller than the sum of its proper divisors (6345232288).

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

4841291312 is a wasteful number, since it uses less digits than its factorization.

4841291312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1466 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 4841291312 is about 69579.3885572445. The cubic root of 4841291312 is about 1691.6885323691.

The spelling of 4841291312 in words is "four billion, eight hundred forty-one million, two hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 149 176 208 242 286 298 484 572 596 968 1144 1192 1291 1573 1639 1936 1937 2288 2384 2582 3146 3278 3874 5164 6292 6556 7748 10328 12584 13112 14201 15496 16783 18029 20656 21307 25168 26224 28402 30992 33566 36058 42614 56804 67132 72116 85228 113608 134264 144232 156211 170456 184613 192359 227216 234377 268528 288464 312422 340912 369226 384718 468754 624844 738452 769436 937508 1249688 1476904 1538872 1875016 2030743 2115949 2499376 2500667 2953808 3077744 3750032 4061486 4231898 5001334 8122972 8463796 10002668 16245944 16927592 20005336 23275439 27507337 32491888 33855184 40010672 46550878 55014674 93101756 110029348 186203512 220058696 302580707 372407024 440117392 605161414 1210322828 2420645656 4841291312