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819008838 = 232371229743
BaseRepresentation
bin110000110100010…
…001010101000110
32010002002221220200
4300310101111012
53134131240323
6213134111330
726203313604
oct6064212506
92102087820
10819008838
1139034450a
121aa34b546
131008aa11b
147aab6874
154bd7e443
hex30d11546

819008838 has 24 divisors (see below), whose sum is σ = 1822480608. Its totient is φ = 265624272.

The previous prime is 819008837. The next prime is 819008843. The reversal of 819008838 is 838800918.

It is a super-2 number, since 2×8190088382 = 1341550953444220488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 819008793 and 819008802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819008833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614206 + ... + 615537.

It is an arithmetic number, because the mean of its divisors is an integer number (75936692).

Almost surely, 2819008838 is an apocalyptic number.

819008838 is an abundant number, since it is smaller than the sum of its proper divisors (1003471770).

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

819008838 is a wasteful number, since it uses less digits than its factorization.

819008838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229788 (or 1229785 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 819008838 is about 28618.3304544482. The cubic root of 819008838 is about 935.6128891757.

The spelling of 819008838 in words is "eight hundred nineteen million, eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1229743 2459486 3689229 7378458 11067687 22135374 45500491 91000982 136501473 273002946 409504419 819008838