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816416055 = 3257131931033
BaseRepresentation
bin110000101010011…
…000010100110111
32002220020020021200
4300222120110313
53133000303210
6213002343543
726142264510
oct6052302467
92086206250
10816416055
11389933514
121a94babb3
131001acc30
147a5dda07
154ba1b0c0
hex30a98537

816416055 has 96 divisors (see below), whose sum is σ = 1752406656. Its totient is φ = 342392832.

The previous prime is 816416039. The next prime is 816416057. The reversal of 816416055 is 550614618.

816416055 is a `hidden beast` number, since 8 + 1 + 6 + 41 + 605 + 5 = 666.

It is not a de Polignac number, because 816416055 - 24 = 816416039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816416057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789819 + ... + 790851.

It is an arithmetic number, because the mean of its divisors is an integer number (18254236).

Almost surely, 2816416055 is an apocalyptic number.

816416055 is an abundant number, since it is smaller than the sum of its proper divisors (935990601).

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

816416055 is a wasteful number, since it uses less digits than its factorization.

816416055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 816416055 is about 28572.9952052633. The cubic root of 816416055 is about 934.6245377818.

The spelling of 816416055 in words is "eight hundred sixteen million, four hundred sixteen thousand, fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 193 195 273 315 455 579 585 819 965 1033 1351 1365 1737 2509 2895 3099 4053 4095 5165 6755 7231 7527 8685 9297 12159 12545 13429 15495 17563 20265 21693 22581 36155 37635 40287 46485 52689 60795 65079 67145 87815 94003 108465 112905 120861 158067 199369 201435 263445 282009 325395 470015 598107 604305 790335 846027 996845 1395583 1410045 1794321 2591797 2990535 4186749 4230135 6977915 7775391 8971605 12560247 12958985 18142579 20933745 23326173 38876955 54427737 62801235 90712895 116630865 163283211 272138685 816416055