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811090416 = 243137123341
BaseRepresentation
bin110000010110000…
…100000111110000
32002112012122212210
4300112010013300
53130114343131
6212252252120
726046104043
oct6026040760
92075178783
10811090416
11386926264
121a7771040
13cc066b76
1479a14c5a
154b318146
hex305841f0

811090416 has 40 divisors (see below), whose sum is σ = 2110628304. Its totient is φ = 268387840.

The previous prime is 811090361. The next prime is 811090447. The reversal of 811090416 is 614090118.

It is a super-3 number, since 3×8110904163 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55095 + ... + 68246.

Almost surely, 2811090416 is an apocalyptic number.

It is an amenable number.

811090416 is an abundant number, since it is smaller than the sum of its proper divisors (1299537888).

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

811090416 is a wasteful number, since it uses less digits than its factorization.

811090416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123489 (or 123483 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 811090416 is about 28479.6491551423. The cubic root of 811090416 is about 932.5878575636.

The spelling of 811090416 in words is "eight hundred eleven million, ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 123341 246682 370023 493364 740046 986728 1480092 1973456 2960184 5920368 16897717 33795434 50693151 67590868 101386302 135181736 202772604 270363472 405545208 811090416