Search a number
-
+
3830794992 = 2433233112437
BaseRepresentation
bin1110010001010101…
…0100101011110000
3100212222022112211000
43210111110223300
530321140414432
61432043122000
7163634135343
oct34425245360
910788275730
103830794992
111696424a82
128aab13300
1349085a1cb
14284aaa45a
151764a057c
hexe4554af0

3830794992 has 160 divisors (see below), whose sum is σ = 11844956160. Its totient is φ = 1181917440.

The previous prime is 3830794987. The next prime is 3830794993. The reversal of 3830794992 is 2994970383.

3830794992 is a `hidden beast` number, since 3 + 83 + 0 + 79 + 499 + 2 = 666.

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 (3830794993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301798 + ... + 314234.

It is an arithmetic number, because the mean of its divisors is an integer number (74030976).

Almost surely, 23830794992 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 3830794992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922478080).

3830794992 is an abundant number, since it is smaller than the sum of its proper divisors (8014161168).

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

3830794992 is a wasteful number, since it uses less digits than its factorization.

3830794992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3830794992 is about 61893.4163865592. The cubic root of 3830794992 is about 1564.6947918464.

The spelling of 3830794992 in words is "three billion, eight hundred thirty million, seven hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 36 46 48 54 62 69 72 92 93 108 124 138 144 184 186 207 216 248 276 279 368 372 414 432 496 552 558 621 713 744 828 837 1104 1116 1242 1426 1488 1656 1674 2139 2232 2484 2852 3312 3348 4278 4464 4968 5704 6417 6696 8556 9936 11408 12437 12834 13392 17112 19251 24874 25668 34224 37311 38502 49748 51336 74622 77004 99496 102672 111933 149244 154008 198992 223866 286051 298488 308016 335799 385547 447732 572102 596976 671598 771094 858153 895464 1144204 1156641 1343196 1542188 1716306 1790928 2288408 2313282 2574459 2686392 3084376 3432612 3469923 4576816 4626564 5148918 5372784 6168752 6865224 6939846 7723377 8867581 9253128 10297836 10409769 13730448 13879692 15446754 17735162 18506256 20595672 20819538 26602743 27759384 30893508 35470324 41191344 41639076 53205486 55518768 61787016 70940648 79808229 83278152 106410972 123574032 141881296 159616458 166556304 212821944 239424687 319232916 425643888 478849374 638465832 957698748 1276931664 1915397496 3830794992