Search a number
-
+
3848522490 = 2335149271353
BaseRepresentation
bin1110010101100011…
…1100101011111010
3100221012200012101000
43211120330223322
530340210204430
61433515105430
7164240621121
oct34530745372
910835605330
103848522490
1116a54329aa
128b4a42276
13494426157
142871a2ab8
15177d02e60
hexe563cafa

3848522490 has 128 divisors (see below), whose sum is σ = 10399104000. Its totient is φ = 1012746240.

The previous prime is 3848522471. The next prime is 3848522519. The reversal of 3848522490 is 942258483.

3848522490 is a `hidden beast` number, since 3 + 84 + 8 + 522 + 49 + 0 = 666.

It is a super-2 number, since 2×38485224902 = 29622250712071600200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10902154 + ... + 10902506.

It is an arithmetic number, because the mean of its divisors is an integer number (81243000).

Almost surely, 23848522490 is an apocalyptic number.

3848522490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848522490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199552000).

3848522490 is an abundant number, since it is smaller than the sum of its proper divisors (6550581510).

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

3848522490 is a wasteful number, since it uses less digits than its factorization.

3848522490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3848522490 is about 62036.4609725603. The cubic root of 3848522490 is about 1567.1046872916.

The spelling of 3848522490 in words is "three billion, eight hundred forty-eight million, five hundred twenty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 271 298 353 447 542 706 745 813 894 1059 1341 1355 1490 1626 1765 2118 2235 2439 2682 2710 3177 3530 4023 4065 4470 4878 5295 6354 6705 7317 8046 8130 9531 10590 12195 13410 14634 15885 19062 20115 24390 31770 36585 40230 40379 47655 52597 73170 80758 95310 95663 105194 121137 157791 191326 201895 242274 262985 286989 315582 363411 403790 473373 478315 525970 573978 605685 726822 788955 860967 946746 956630 1090233 1211370 1420119 1434945 1577910 1721934 1817055 2180466 2366865 2582901 2840238 2869890 3634110 4304835 4733730 5165802 5451165 7100595 8609670 10902330 12914505 14201190 14253787 25829010 28507574 42761361 71268935 85522722 128284083 142537870 213806805 256568166 384852249 427613610 641420415 769704498 1282840830 1924261245 3848522490