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819723042 = 232192396851
BaseRepresentation
bin110000110110111…
…111101100100010
32010010110020121200
4300312333230202
53134322114132
6213201302030
726212350045
oct6066775442
92103406550
10819723042
11390792066
121aa634916
13100a9a228
147ac20c5c
154be70d7c
hex30dbfb22

819723042 has 24 divisors (see below), whose sum is σ = 1869544560. Its totient is φ = 258859800.

The previous prime is 819723031. The next prime is 819723067. The reversal of 819723042 is 240327918.

It is a junction number, because it is equal to n+sod(n) for n = 819722988 and 819723006.

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 11 ways as a sum of consecutive naturals, for example, 1198084 + ... + 1198767.

It is an arithmetic number, because the mean of its divisors is an integer number (77897690).

Almost surely, 2819723042 is an apocalyptic number.

819723042 is an abundant number, since it is smaller than the sum of its proper divisors (1049821518).

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

819723042 is a wasteful number, since it uses less digits than its factorization.

819723042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396878 (or 2396875 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 819723042 is about 28630.8058217019. The cubic root of 819723042 is about 935.8847724141.

The spelling of 819723042 in words is "eight hundred nineteen million, seven hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2396851 4793702 7190553 14381106 21571659 43143318 45540169 91080338 136620507 273241014 409861521 819723042