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94105872 = 24327213337
BaseRepresentation
bin1011001101111…
…11000100010000
320120002001222200
411212333010100
5143042341442
613201003200
72221613100
oct546770420
9216061880
1094105872
1149136153
1227623500
131665ba63
14c6d9200
1583dd34c
hex59bf110

94105872 has 90 divisors (see below), whose sum is σ = 306387198. Its totient is φ = 26885376.

The previous prime is 94105861. The next prime is 94105877. The reversal of 94105872 is 27850149.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 22127616 = 8484^2 + 4704^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (94105877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 388 + ... + 13724.

Almost surely, 294105872 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 94105872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153193599).

94105872 is an abundant number, since it is smaller than the sum of its proper divisors (212281326).

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

94105872 is a wasteful number, since it uses less digits than its factorization.

94105872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 94105872 is about 9700.8181098297. The cubic root of 94105872 is about 454.8542333852.

The spelling of 94105872 in words is "ninety-four million, one hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 13337 26674 40011 53348 80022 93359 106696 120033 160044 186718 213392 240066 280077 320088 373436 480132 560154 640176 653513 746872 840231 960264 1120308 1307026 1493744 1680462 1920528 1960539 2240616 2614052 3360924 3921078 4481232 5228104 5881617 6721848 7842156 10456208 11763234 13443696 15684312 23526468 31368624 47052936 94105872