Search a number
-
+
485612064 = 25337233491
BaseRepresentation
bin11100111100011…
…101101000100000
31020211202122112000
4130330131220200
51443304041224
6120104204000
715014430420
oct3474355040
91224678460
10485612064
1122a12a593
12116769600
13797b8222
14486cc480
152c9750c9
hex1cf1da20

485612064 has 192 divisors, whose sum is σ = 1689569280. Its totient is φ = 132675840.

The previous prime is 485612011. The next prime is 485612107. The reversal of 485612064 is 460216584.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137359 + ... + 140849.

It is an arithmetic number, because the mean of its divisors is an integer number (8799840).

Almost surely, 2485612064 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 485612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844784640).

485612064 is an abundant number, since it is smaller than the sum of its proper divisors (1203957216).

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

485612064 is a wasteful number, since it uses less digits than its factorization.

485612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 485612064 is about 22036.6073613885. The cubic root of 485612064 is about 786.0131691751.

It can be divided in two parts, 48561 and 2064, that added together give a 4-th power (50625 = 154).

The spelling of 485612064 in words is "four hundred eighty-five million, six hundred twelve thousand, sixty-four".