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92074416 = 2437893079
BaseRepresentation
bin1010111110011…
…11000110110000
320102020212100120
411133033012300
5142032340131
613045250240
72165422350
oct537170660
9212225316
1092074416
1147a78965
1226a03980
13160ca205
14c32ab60
15813b496
hex57cf1b0

92074416 has 80 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 26002944.

The previous prime is 92074387. The next prime is 92074417. The reversal of 92074416 is 61447029.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (92074417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28365 + ... + 31443.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 292074416 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 92074416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

92074416 is an abundant number, since it is smaller than the sum of its proper divisors (182907984).

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

92074416 is a wasteful number, since it uses less digits than its factorization.

92074416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 92074416 is about 9595.5414646595. The cubic root of 92074416 is about 451.5574282888.

The spelling of 92074416 in words is "ninety-two million, seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3079 3738 4272 4984 6158 7476 9237 9968 12316 14952 18474 21553 24632 29904 36948 43106 49264 64659 73896 86212 129318 147792 172424 258636 274031 344848 517272 548062 822093 1034544 1096124 1644186 1918217 2192248 3288372 3836434 4384496 5754651 6576744 7672868 11509302 13153488 15345736 23018604 30691472 46037208 92074416