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819990048 = 25343198641
BaseRepresentation
bin110000111000000…
…000111000100000
32010010221210212210
4300320000320200
53134404140143
6213211122120
726214541353
oct6070007040
92103853783
10819990048
11390954729
121aa743340
13100b61917
147ac9029a
154bec5033
hex30e00e20

819990048 has 48 divisors (see below), whose sum is σ = 2202542496. Its totient is φ = 266972160.

The previous prime is 819990023. The next prime is 819990077. The reversal of 819990048 is 840099918.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 819989979 and 819990006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95193 + ... + 103448.

It is an arithmetic number, because the mean of its divisors is an integer number (45886302).

Almost surely, 2819990048 is an apocalyptic number.

It is an amenable number.

819990048 is an abundant number, since it is smaller than the sum of its proper divisors (1382552448).

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

819990048 is a wasteful number, since it uses less digits than its factorization.

819990048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198697 (or 198689 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 819990048 is about 28635.4683565679. The cubic root of 819990048 is about 935.9863757240.

The spelling of 819990048 in words is "eight hundred nineteen million, nine hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 198641 397282 595923 794564 1191846 1589128 2383692 3178256 4767384 6356512 8541563 9534768 17083126 19069536 25624689 34166252 51249378 68332504 102498756 136665008 204997512 273330016 409995024 819990048