Search a number
-
+
94084056 = 233211211563
BaseRepresentation
bin1011001101110…
…01101111011000
320120000222001200
411212321233120
5143041142211
613200314200
72221462353
oct546715730
9216028050
1094084056
1149120820
1227612960
1316651b51
14c6d129a
1583d6b56
hex59b9bd8

94084056 has 96 divisors (see below), whose sum is σ = 279789120. Its totient is φ = 28324800.

The previous prime is 94084051. The next prime is 94084073. The reversal of 94084056 is 65048049.

It is a super-2 number, since 2×940840562 = 17703619186822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 94084056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94084051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166831 + ... + 167393.

It is an arithmetic number, because the mean of its divisors is an integer number (2914470).

Almost surely, 294084056 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 94084056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139894560).

94084056 is an abundant number, since it is smaller than the sum of its proper divisors (185705064).

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

94084056 is a wasteful number, since it uses less digits than its factorization.

94084056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 94084056 is about 9699.6936034083. The cubic root of 94084056 is about 454.8190819589.

The spelling of 94084056 in words is "ninety-four million, eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 211 264 396 422 563 633 792 844 1126 1266 1688 1689 1899 2252 2321 2532 3378 3798 4504 4642 5064 5067 6193 6756 6963 7596 9284 10134 12386 13512 13926 15192 18568 18579 20268 20889 24772 27852 37158 40536 41778 49544 55704 55737 74316 83556 111474 118793 148632 167112 222948 237586 356379 445896 475172 712758 950344 1069137 1306723 1425516 2138274 2613446 2851032 3920169 4276548 5226892 7840338 8553096 10453784 11760507 15680676 23521014 31361352 47042028 94084056