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3929644992 = 263713224911
BaseRepresentation
bin1110101000111001…
…1001111111000000
3101010212022122112010
43222032121333000
531021442114432
61445533532520
7166244300640
oct35216317700
911125278463
103929644992
111737200499
12918044140
134a818a430
14293c7c520
1517eec93cc
hexea399fc0

3929644992 has 112 divisors (see below), whose sum is σ = 12796593152. Its totient is φ = 1036385280.

The previous prime is 3929644973. The next prime is 3929644993. The reversal of 3929644992 is 2994469293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3929644993) 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 15 ways as a sum of consecutive naturals, for example, 94984 + ... + 129927.

It is an arithmetic number, because the mean of its divisors is an integer number (114255296).

Almost surely, 23929644992 is an apocalyptic number.

3929644992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3929644992 is an abundant number, since it is smaller than the sum of its proper divisors (8866948160).

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

3929644992 is a wasteful number, since it uses less digits than its factorization.

3929644992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224946 (or 224936 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 57.

The square root of 3929644992 is about 62686.8805413062. The cubic root of 3929644992 is about 1578.0391463026.

The spelling of 3929644992 in words is "three billion, nine hundred twenty-nine million, six hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 224911 449822 674733 899644 1349466 1574377 1799288 2698932 2923843 3148754 3598576 4723131 5397864 5847686 6297508 7197152 8771529 9446262 10795728 11695372 12595016 14394304 17543058 18892524 20466901 21591456 23390744 25190032 35086116 37785048 40933802 43182912 46781488 50380064 61400703 70172232 75570096 81867604 93562976 100760128 122801406 140344464 151140192 163735208 187125952 245602812 280688928 302280384 327470416 491205624 561377856 654940832 982411248 1309881664 1964822496 3929644992