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50829966 = 232111715101
BaseRepresentation
bin1100000111100…
…1101010001110
310112122102121100
43001321222032
5101003024331
65013243530
71155022215
oct301715216
9115572540
1050829966
1126768340
12150335a6
13a6b9105
146a7207c
1546e0ae6
hex3079a8e

50829966 has 48 divisors (see below), whose sum is σ = 127219248. Its totient is φ = 14496000.

The previous prime is 50829941. The next prime is 50830001. The reversal of 50829966 is 66992805.

50829966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×508299662 = 5167370887122312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4185 + ... + 10916.

It is an arithmetic number, because the mean of its divisors is an integer number (2650401).

Almost surely, 250829966 is an apocalyptic number.

50829966 is an abundant number, since it is smaller than the sum of its proper divisors (76389282).

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

50829966 is a wasteful number, since it uses less digits than its factorization.

50829966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15137 (or 15134 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 50829966 is about 7129.5137281585. The cubic root of 50829966 is about 370.4303879007.

The spelling of 50829966 in words is "fifty million, eight hundred twenty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 15101 30202 45303 90606 135909 166111 256717 271818 332222 498333 513434 770151 996666 1494999 1540302 2310453 2823887 2989998 4620906 5647774 8471661 16943322 25414983 50829966