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819404412 = 2231934710357
BaseRepresentation
bin110000110101110…
…001111001111100
32010002212001112120
4300311301321330
53134231420122
6213150402540
726206552101
oct6065617174
92102761476
10819404412
11390594732
121aa500450
131009b81a8
147ab7aaa8
154be0b75c
hex30d71e7c

819404412 has 48 divisors (see below), whose sum is σ = 2018567040. Its totient is φ = 257988672.

The previous prime is 819404389. The next prime is 819404419. The reversal of 819404412 is 214404918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819404419) 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 15 ways as a sum of consecutive naturals, for example, 73938 + ... + 84294.

It is an arithmetic number, because the mean of its divisors is an integer number (42053480).

Almost surely, 2819404412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819404412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009283520).

819404412 is an abundant number, since it is smaller than the sum of its proper divisors (1199162628).

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

819404412 is a wasteful number, since it uses less digits than its factorization.

819404412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 819404412 is about 28625.2408199477. The cubic root of 819404412 is about 935.7634958383.

The spelling of 819404412 in words is "eight hundred nineteen million, four hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 347 694 1041 1388 2082 4164 6593 10357 13186 19779 20714 26372 31071 39558 41428 62142 79116 124284 196783 393566 590349 787132 1180698 2361396 3593879 7187758 10781637 14375516 21563274 43126548 68283701 136567402 204851103 273134804 409702206 819404412