Search a number
-
+
41214768 = 2437122663
BaseRepresentation
bin1001110100111…
…0001100110000
32212112221000220
42131032030300
541022333033
64031213040
71010214450
oct235161460
985487026
1041214768
11212a02a1
1211977180
13870074a
14568bd60
153941bb3
hex274e330

41214768 has 40 divisors (see below), whose sum is σ = 121682688. Its totient is φ = 11775552.

The previous prime is 41214757. The next prime is 41214773. The reversal of 41214768 is 86741214.

It is a nude number because it is divisible by every one of its digits.

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, 60996 + ... + 61667.

Almost surely, 241214768 is an apocalyptic number.

41214768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41214768 is an abundant number, since it is smaller than the sum of its proper divisors (80467920).

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

41214768 is a wasteful number, since it uses less digits than its factorization.

41214768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122681 (or 122675 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 41214768 is about 6419.8728959380. The cubic root of 41214768 is about 345.4227625590.

The spelling of 41214768 in words is "forty-one million, two hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 122663 245326 367989 490652 735978 858641 981304 1471956 1717282 1962608 2575923 2943912 3434564 5151846 5887824 6869128 10303692 13738256 20607384 41214768