Search a number
-
+
94247104 = 267712963
BaseRepresentation
bin1011001111000…
…01100011000000
320120100020201111
411213201203000
5143111401404
613204013104
72223041620
oct547414300
9216306644
1094247104
1149222276
1227691194
13166ab123
14c734880
15841a104
hex59e18c0

94247104 has 56 divisors (see below), whose sum is σ = 216822528. Its totient is φ = 39809280.

The previous prime is 94247093. The next prime is 94247107. The reversal of 94247104 is 40174249.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×942471042 = 17765033224773632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (94247107) 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 7 ways as a sum of consecutive naturals, for example, 30327 + ... + 33289.

Almost surely, 294247104 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 94247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

94247104 is an abundant number, since it is smaller than the sum of its proper divisors (122575424).

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

94247104 is a wasteful number, since it uses less digits than its factorization.

94247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 94247104 is about 9708.0947667398. The cubic root of 94247104 is about 455.0816646880.

The spelling of 94247104 in words is "ninety-four million, two hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 2963 3976 4544 5926 7952 11852 15904 20741 23704 31808 41482 47408 82964 94816 165928 189632 210373 331856 420746 663712 841492 1327424 1472611 1682984 2945222 3365968 5890444 6731936 11780888 13463872 23561776 47123552 94247104