Search a number
-
+
41599968 = 2531922807
BaseRepresentation
bin1001111010110…
…0001111100000
32220021111102120
42132230033200
541122144333
64043344240
71013410464
oct236541740
986244376
1041599968
1121533743
1211b22080
138806b87
14574c4a4
1539badb3
hex27ac3e0

41599968 has 48 divisors (see below), whose sum is σ = 114952320. Its totient is φ = 13136256.

The previous prime is 41599931. The next prime is 41599973. The reversal of 41599968 is 86999514.

41599968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41599968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9580 + ... + 13227.

It is an arithmetic number, because the mean of its divisors is an integer number (2394840).

Almost surely, 241599968 is an apocalyptic number.

41599968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41599968 is an abundant number, since it is smaller than the sum of its proper divisors (73352352).

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

41599968 is a wasteful number, since it uses less digits than its factorization.

41599968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22839 (or 22831 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 41599968 is about 6449.8037179437. The cubic root of 41599968 is about 346.4955532913.

The spelling of 41599968 in words is "forty-one million, five hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 22807 45614 68421 91228 136842 182456 273684 364912 433333 547368 729824 866666 1094736 1299999 1733332 2189472 2599998 3466664 5199996 6933328 10399992 13866656 20799984 41599968