Search a number
-
+
94912768 = 2817113193
BaseRepresentation
bin1011010100001…
…00000100000000
320121121001211201
411222010010000
5143244202033
613230150544
72231513416
oct552040400
9217531751
1094912768
1149637405
1227952454
1316882102
14c8692b6
1584ec47d
hex5a84100

94912768 has 72 divisors (see below), whose sum is σ = 203422968. Its totient is φ = 44040192.

The previous prime is 94912757. The next prime is 94912777. The reversal of 94912768 is 86721949.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 94322944 = 768^2 + 9712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491680 + ... + 491872.

It is an arithmetic number, because the mean of its divisors is an integer number (2825319).

Almost surely, 294912768 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 94912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101711484).

94912768 is an abundant number, since it is smaller than the sum of its proper divisors (108510200).

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

94912768 is a wasteful number, since it uses less digits than its factorization.

94912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 94912768 is about 9742.3184099063. The cubic root of 94912768 is about 456.1505607271.

The spelling of 94912768 in words is "ninety-four million, nine hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 193 226 256 272 386 452 544 772 904 1088 1544 1808 1921 2176 3088 3281 3616 3842 4352 6176 6562 7232 7684 12352 13124 14464 15368 21809 24704 26248 28928 30736 43618 49408 52496 61472 87236 104992 122944 174472 209984 245888 348944 370753 419968 491776 697888 741506 839936 1395776 1483012 2791552 2966024 5583104 5932048 11864096 23728192 47456384 94912768