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92209104 = 2434132421
BaseRepresentation
bin1010111111011…
…11111111010000
320102111201010000
411133233333100
5142101142404
613052210000
72166523131
oct537577720
9212451100
1092209104
1148060079
1226a69900
1316146600
14c363c88
158166339
hex57effd0

92209104 has 150 divisors (see below), whose sum is σ = 289674726. Its totient is φ = 28304640.

The previous prime is 92209087. The next prime is 92209127. The reversal of 92209104 is 40190229.

It can be written as a sum of positive squares in 3 ways, for example, as 11209104 + 81000000 = 3348^2 + 9000^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218814 + ... + 219234.

Almost surely, 292209104 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 92209104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837363).

92209104 is an abundant number, since it is smaller than the sum of its proper divisors (197465622).

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

92209104 is a wasteful number, since it uses less digits than its factorization.

92209104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 92209104 is about 9602.5571594237. The cubic root of 92209104 is about 451.7775029406. Note that the first 3 decimals are identical.

The spelling of 92209104 in words is "ninety-two million, two hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 421 432 468 507 624 648 676 702 842 936 1014 1053 1263 1296 1352 1404 1521 1684 1872 2028 2106 2526 2704 2808 3042 3368 3789 4056 4212 4563 5052 5473 5616 6084 6736 7578 8112 8424 9126 10104 10946 11367 12168 13689 15156 16419 16848 18252 20208 21892 22734 24336 27378 30312 32838 34101 36504 43784 45468 49257 54756 60624 65676 68202 71149 73008 87568 90936 98514 109512 131352 136404 142298 147771 181872 197028 213447 219024 262704 272808 284596 295542 394056 426894 443313 545616 569192 591084 640341 788112 853788 886626 1138384 1182168 1280682 1707576 1773252 1921023 2364336 2561364 3415152 3546504 3842046 5122728 5763069 7093008 7684092 10245456 11526138 15368184 23052276 30736368 46104552 92209104