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819320742 = 23245517819
BaseRepresentation
bin110000110101011…
…101011110100110
32010002200210202200
4300311131132212
53134221230432
6213144515330
726206053132
oct6065353646
92102623680
10819320742
11390537889
121aa47bb46
13100989096
147ab583c2
154bde1a7c
hex30d5d7a6

819320742 has 12 divisors (see below), whose sum is σ = 1775194980. Its totient is φ = 273106908.

The previous prime is 819320741. The next prime is 819320783. The reversal of 819320742 is 247023918.

It is a junction number, because it is equal to n+sod(n) for n = 819320697 and 819320706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819320741) 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 5 ways as a sum of consecutive naturals, for example, 22758892 + ... + 22758927.

It is an arithmetic number, because the mean of its divisors is an integer number (147932915).

Almost surely, 2819320742 is an apocalyptic number.

819320742 is an abundant number, since it is smaller than the sum of its proper divisors (955874238).

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

819320742 is a wasteful number, since it uses less digits than its factorization.

819320742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45517827 (or 45517824 counting only the distinct ones).

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

The square root of 819320742 is about 28623.7793102169. The cubic root of 819320742 is about 935.7316442497.

The spelling of 819320742 in words is "eight hundred nineteen million, three hundred twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 45517819 91035638 136553457 273106914 409660371 819320742