Search a number
-
+
94500468 = 223223611871
BaseRepresentation
bin1011010000111…
…11011001110100
320120211010021100
411220133121310
5143143003333
613213250100
72225145366
oct550373164
9216733240
1094500468
1149385667
1227793930
131676954a
14c79cd36
15846a213
hex5a1f674

94500468 has 72 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 29620800.

The previous prime is 94500451. The next prime is 94500499. The reversal of 94500468 is 86400549.

94500468 is a `hidden beast` number, since 94 + 500 + 4 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49573 + ... + 51443.

It is an arithmetic number, because the mean of its divisors is an integer number (3520608).

Almost surely, 294500468 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 94500468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

94500468 is an abundant number, since it is smaller than the sum of its proper divisors (158983308).

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

94500468 is a wasteful number, since it uses less digits than its factorization.

94500468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 94500468 is about 9721.1351189046. The cubic root of 94500468 is about 455.4890976974.

The spelling of 94500468 in words is "ninety-four million, five hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 732 828 1098 1403 1871 2196 2806 3742 4209 5612 5613 7484 8418 11226 12627 16836 16839 22452 25254 33678 43033 50508 67356 86066 114131 129099 172132 228262 258198 342393 387297 456524 516396 684786 774594 1027179 1369572 1549188 2054358 2625013 4108716 5250026 7875039 10500052 15750078 23625117 31500156 47250234 94500468