Search a number
-
+
41477840 = 245518473
BaseRepresentation
bin1001111000111…
…0011011010000
32220001021220022
42132032123100
541104242330
64041003012
71012361435
oct236163320
986037808
1041477840
112145aa08
1211a83468
138793401
145719b8c
153994ae5
hex278e6d0

41477840 has 20 divisors (see below), whose sum is σ = 96436164. Its totient is φ = 16591104.

The previous prime is 41477837. The next prime is 41477857. The reversal of 41477840 is 4877414.

41477840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20720704 + 20757136 = 4552^2 + 4556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×414778402 = 3440822422131200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41477840.

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 3 ways as a sum of consecutive naturals, for example, 259157 + ... + 259316.

Almost surely, 241477840 is an apocalyptic number.

41477840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41477840 is an abundant number, since it is smaller than the sum of its proper divisors (54958324).

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

41477840 is a wasteful number, since it uses less digits than its factorization.

41477840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518486 (or 518480 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 41477840 is about 6440.3291841334. The cubic root of 41477840 is about 346.1561436758.

The spelling of 41477840 in words is "forty-one million, four hundred seventy-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 518473 1036946 2073892 2592365 4147784 5184730 8295568 10369460 20738920 41477840