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828087950 = 252111714827
BaseRepresentation
bin110001010110111…
…001111010001110
32010201012020010002
4301112321322032
53143442303300
6214100444302
726343426404
oct6126717216
92121166102
10828087950
11395485808
121b13a9692
13102738791
147bd9b474
154ca745d5
hex315b9e8e

828087950 has 24 divisors (see below), whose sum is σ = 1541726472. Its totient is φ = 330916320.

The previous prime is 828087941. The next prime is 828087959. The reversal of 828087950 is 59780828.

It is an interprime number because it is at equal distance from previous prime (828087941) and next prime (828087959).

It is a super-3 number, since 3×8280879503 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828087895 and 828087904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828087959) 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 11 ways as a sum of consecutive naturals, for example, 48437 + ... + 63263.

It is an arithmetic number, because the mean of its divisors is an integer number (64238603).

Almost surely, 2828087950 is an apocalyptic number.

828087950 is a deficient number, since it is larger than the sum of its proper divisors (713638522).

828087950 is a wasteful number, since it uses less digits than its factorization.

828087950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956 (or 15951 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The square root of 828087950 is about 28776.5173361892. The cubic root of 828087950 is about 939.0574337791.

The spelling of 828087950 in words is "eight hundred twenty-eight million, eighty-seven thousand, nine hundred fifty".

Divisors: 1 2 5 10 25 50 1117 2234 5585 11170 14827 27925 29654 55850 74135 148270 370675 741350 16561759 33123518 82808795 165617590 414043975 828087950