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829872996 = 223435927259
BaseRepresentation
bin110001011101101…
…101101101100100
32010211112220201220
4301131231231210
53144421413441
6214203020340
726364542541
oct6135555544
92124486656
10829872996
11396494957
121b1b0a6b0
13102c12114
147c303bc8
154ccc8466
hex3176db64

829872996 has 48 divisors (see below), whose sum is σ = 2015059200. Its totient is φ = 265601952.

The previous prime is 829872977. The next prime is 829873001. The reversal of 829872996 is 699278928.

It is a happy number.

It is an unprimeable number.

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, 16815 + ... + 44073.

It is an arithmetic number, because the mean of its divisors is an integer number (41980400).

Almost surely, 2829872996 is an apocalyptic number.

829872996 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

829872996 is an abundant number, since it is smaller than the sum of its proper divisors (1185186204).

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

829872996 is a wasteful number, since it uses less digits than its factorization.

829872996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27368 (or 27366 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 829872996 is about 28807.5163108519. The cubic root of 829872996 is about 939.7317010048.

The spelling of 829872996 in words is "eight hundred twenty-nine million, eight hundred seventy-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 43 59 86 118 129 172 177 236 258 354 516 708 2537 5074 7611 10148 15222 27259 30444 54518 81777 109036 163554 327108 1172137 1608281 2344274 3216562 3516411 4688548 4824843 6433124 7032822 9649686 14065644 19299372 69156083 138312166 207468249 276624332 414936498 829872996