Search a number
-
+
64148000 = 255372979
BaseRepresentation
bin1111010010110…
…1001000100000
311110201001111212
43310231020200
5112410214000
610210525252
71406151260
oct364551040
9143631455
1064148000
1133234384
1219596828
131039ccc7
14873b7a0
155971c35
hex3d2d220

64148000 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 20966400.

The previous prime is 64147991. The next prime is 64148017. The reversal of 64148000 is 84146.

It is a happy number.

It is a super-2 number, since 2×641480002 = 8229931808000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811961 + ... + 812039.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 264148000 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 64148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

64148000 is an abundant number, since it is smaller than the sum of its proper divisors (124549600).

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

64148000 is a wasteful number, since it uses less digits than its factorization.

64148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 64148000 is about 8009.2446585181. The cubic root of 64148000 is about 400.3080959646.

The spelling of 64148000 in words is "sixty-four million, one hundred forty-eight thousand".