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819790040 = 23531661121
BaseRepresentation
bin110000110111010…
…000000011011000
32010010120122112002
4300313100003120
53134331240130
6213202540132
726213046266
oct6067200330
92103518462
10819790040
11390828433
121aa667648
13100ac1884
147ac3b436
154be85b45
hex30dd00d8

819790040 has 32 divisors (see below), whose sum is σ = 1904031360. Its totient is φ = 317337600.

The previous prime is 819790003. The next prime is 819790057. The reversal of 819790040 is 40097918.

It is a junction number, because it is equal to n+sod(n) for n = 819789976 and 819790003.

It is a congruent number.

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, 329321 + ... + 331800.

It is an arithmetic number, because the mean of its divisors is an integer number (59500980).

Almost surely, 2819790040 is an apocalyptic number.

It is an amenable number.

819790040 is an abundant number, since it is smaller than the sum of its proper divisors (1084241320).

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

819790040 is a wasteful number, since it uses less digits than its factorization.

819790040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661163 (or 661159 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 819790040 is about 28631.9758312276. The cubic root of 819790040 is about 935.9102691150.

The spelling of 819790040 in words is "eight hundred nineteen million, seven hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 661121 1322242 2644484 3305605 5288968 6611210 13222420 20494751 26444840 40989502 81979004 102473755 163958008 204947510 409895020 819790040