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3683821950 = 233528093373
BaseRepresentation
bin1101101110010010…
…1010100101111110
3100111201202112201000
43123210222211332
530021024300300
61405313031130
7160200653454
oct33344524576
910451675630
103683821950
11162046aa56
128698554a6
1346927b003
1426d36c9d4
1516861cc00
hexdb92a97e

3683821950 has 96 divisors (see below), whose sum is σ = 10166536800. Its totient is φ = 980847360.

The previous prime is 3683821949. The next prime is 3683821993. The reversal of 3683821950 is 591283863.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3683821896 and 3683821905.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1090464 + ... + 1093836.

It is an arithmetic number, because the mean of its divisors is an integer number (105901425).

Almost surely, 23683821950 is an apocalyptic number.

3683821950 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 3683821950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083268400).

3683821950 is an abundant number, since it is smaller than the sum of its proper divisors (6482714850).

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

3683821950 is a wasteful number, since it uses less digits than its factorization.

3683821950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3683821950 is about 60694.4968675085. The cubic root of 3683821950 is about 1544.4228214495.

The spelling of 3683821950 in words is "three billion, six hundred eighty-three million, eight hundred twenty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 809 1350 1618 2427 3373 4045 4854 6746 7281 8090 10119 12135 14562 16865 20225 20238 21843 24270 30357 33730 36405 40450 43686 50595 60675 60714 72810 84325 91071 101190 109215 121350 151785 168650 182025 182142 218430 252975 303570 364050 455355 505950 546075 758925 910710 1092150 1517850 2276775 2728757 4553550 5457514 8186271 13643785 16372542 24558813 27287570 40931355 49117626 68218925 73676439 81862710 122794065 136437850 147352878 204656775 245588130 368382195 409313550 613970325 736764390 1227940650 1841910975 3683821950