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93344472 = 233213313217
BaseRepresentation
bin1011001000001…
…01001011011000
320111122101112200
411210011023120
5142344010342
613132410200
72212262214
oct544051330
9214571480
1093344472
11487660a1
1227316960
1316453320
14c57b944
1582dc94c
hex59052d8

93344472 has 96 divisors (see below), whose sum is σ = 281124480. Its totient is φ = 27786240.

The previous prime is 93344453. The next prime is 93344479. The reversal of 93344472 is 27444339.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93344479) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27408 + ... + 30624.

It is an arithmetic number, because the mean of its divisors is an integer number (2928380).

Almost surely, 293344472 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 93344472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562240).

93344472 is an abundant number, since it is smaller than the sum of its proper divisors (187780008).

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

93344472 is a wasteful number, since it uses less digits than its factorization.

93344472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3266 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 93344472 is about 9661.4942943625. The cubic root of 93344472 is about 453.6241852301.

The spelling of 93344472 in words is "ninety-three million, three hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3217 3224 3627 4836 6434 7254 9651 9672 12868 14508 19302 25736 28953 29016 38604 41821 57906 77208 83642 99727 115812 125463 167284 199454 231624 250926 299181 334568 376389 398908 501852 598362 752778 797816 897543 1003704 1196724 1296451 1505556 1795086 2393448 2592902 3011112 3590172 3889353 5185804 7180344 7778706 10371608 11668059 15557412 23336118 31114824 46672236 93344472