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3899824380 = 223552113803
BaseRepresentation
bin1110100001110010…
…1001100011111100
3101001210012121100000
43220130221203330
530441323340010
61442550434300
7165432650244
oct35034514374
911053177300
103899824380
111721392861
1290a062990
134a1c48cba
1428dd18b24
1517c5887c0
hexe87298fc

3899824380 has 144 divisors (see below), whose sum is σ = 12328977024. Its totient is φ = 1034752320.

The previous prime is 3899824373. The next prime is 3899824381. The reversal of 3899824380 is 834289983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3899824381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023559 + ... + 1027361.

It is an arithmetic number, because the mean of its divisors is an integer number (85617896).

Almost surely, 23899824380 is an apocalyptic number.

3899824380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3899824380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164488512).

3899824380 is an abundant number, since it is smaller than the sum of its proper divisors (8429152644).

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

3899824380 is a wasteful number, since it uses less digits than its factorization.

3899824380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3899824380 is about 62448.5738828358. The cubic root of 3899824380 is about 1574.0372892188.

The spelling of 3899824380 in words is "three billion, eight hundred ninety-nine million, eight hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 211 243 270 324 405 422 486 540 633 810 844 972 1055 1215 1266 1620 1899 2110 2430 2532 3165 3798 3803 4220 4860 5697 6330 7596 7606 9495 11394 11409 12660 15212 17091 18990 19015 22788 22818 28485 34182 34227 37980 38030 45636 51273 56970 57045 68364 68454 76060 85455 102546 102681 113940 114090 136908 170910 171135 205092 205362 228180 256365 308043 341820 342270 410724 512730 513405 616086 684540 802433 924129 1025460 1026810 1232172 1540215 1604866 1848258 2053620 2407299 3080430 3209732 3696516 4012165 4620645 4814598 6160860 7221897 8024330 9241290 9629196 12036495 14443794 16048660 18482580 21665691 24072990 28887588 36109485 43331382 48145980 64997073 72218970 86662764 108328455 129994146 144437940 194991219 216656910 259988292 324985365 389982438 433313820 649970730 779964876 974956095 1299941460 1949912190 3899824380