Search a number
-
+
94195712 = 212132961
BaseRepresentation
bin1011001110101…
…01000000000000
320120020122020002
411213111000000
5143103230322
613202535132
72222436032
oct547250000
9216218202
1094195712
11491976a6
12276674a8
1316690910
14c71dc52
158409c92
hex59d5000

94195712 has 104 divisors (see below), whose sum is σ = 213293640. Its totient is φ = 41287680.

The previous prime is 94195709. The next prime is 94195721. The reversal of 94195712 is 21759149.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 93392896 = 896^2 + 9664^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-3 number, since 3×941957123 (a number of 25 digits) contains 333 as substring.

Its product of digits (22680) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1544162 + ... + 1544222.

Almost surely, 294195712 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 94195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106646820).

94195712 is an abundant number, since it is smaller than the sum of its proper divisors (119097928).

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

94195712 is a wasteful number, since it uses less digits than its factorization.

94195712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its digits is 22680, while the sum is 38.

The square root of 94195712 is about 9705.4475424887. The cubic root of 94195712 is about 454.9989324936.

The spelling of 94195712 in words is "ninety-four million, one hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 61 64 104 116 122 128 208 232 244 256 377 416 464 488 512 754 793 832 928 976 1024 1508 1586 1664 1769 1856 1952 2048 3016 3172 3328 3538 3712 3904 4096 6032 6344 6656 7076 7424 7808 12064 12688 13312 14152 14848 15616 22997 24128 25376 26624 28304 29696 31232 45994 48256 50752 53248 56608 59392 62464 91988 96512 101504 113216 118784 124928 183976 193024 203008 226432 249856 367952 386048 406016 452864 735904 772096 812032 905728 1471808 1544192 1624064 1811456 2943616 3248128 3622912 5887232 7245824 11774464 23548928 47097856 94195712