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819915054 = 23719521787
BaseRepresentation
bin110000110111101…
…110100100101110
32010010211000000020
4300313232210232
53134344240204
6213205343010
726214106620
oct6067564456
92103730006
10819915054
11390903352
121aa707a66
13100b3674a
147ac70c10
154beacbd9
hex30dee92e

819915054 has 16 divisors (see below), whose sum is σ = 1874091648. Its totient is φ = 234261432.

The previous prime is 819915011. The next prime is 819915097. The reversal of 819915054 is 450519918.

It is an interprime number because it is at equal distance from previous prime (819915011) and next prime (819915097).

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 19521787 = 819915054 / (8 + 1 + 9 + 9 + 1 + 5 + 0 + 5 + 4).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 819914997 and 819915015.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 9760852 + ... + 9760935.

It is an arithmetic number, because the mean of its divisors is an integer number (117130728).

Almost surely, 2819915054 is an apocalyptic number.

819915054 is an abundant number, since it is smaller than the sum of its proper divisors (1054176594).

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

819915054 is a wasteful number, since it uses less digits than its factorization.

819915054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19521799.

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 819915054 is about 28634.1588666404. The cubic root of 819915054 is about 935.9578406206.

The spelling of 819915054 in words is "eight hundred nineteen million, nine hundred fifteen thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 19521787 39043574 58565361 117130722 136652509 273305018 409957527 819915054