Search a number
-
+
64124412 = 223114571063
BaseRepresentation
bin1111010010011…
…1010111111100
311110122212011020
43310213113330
5112403440122
610210224140
71406022432
oct364472774
9143585136
1064124412
1133218690
1219585050
1310392351
148732d52
155969c5c
hex3d275fc

64124412 has 48 divisors (see below), whose sum is σ = 163736832. Its totient is φ = 19370880.

The previous prime is 64124407. The next prime is 64124413. The reversal of 64124412 is 21442146.

It is a happy number.

It is a super-2 number, since 2×641244122 = 8223880428691488, which contains 22 as substring.

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

Its product of digits (1536) is a multiple of the sum of its prime divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64124413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59793 + ... + 60855.

It is an arithmetic number, because the mean of its divisors is an integer number (3411184).

Almost surely, 264124412 is an apocalyptic number.

It is an amenable number.

64124412 is an abundant number, since it is smaller than the sum of its proper divisors (99612420).

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

64124412 is a wasteful number, since it uses less digits than its factorization.

64124412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1536 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 64124412 is about 8007.7719747755. The cubic root of 64124412 is about 400.2590238970.

Adding to 64124412 its reverse (21442146), we get a palindrome (85566558).

The spelling of 64124412 in words is "sixty-four million, one hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 457 914 1063 1371 1828 2126 2742 3189 4252 5027 5484 6378 10054 11693 12756 15081 20108 23386 30162 35079 46772 60324 70158 140316 485791 971582 1457373 1943164 2914746 5343701 5829492 10687402 16031103 21374804 32062206 64124412