Search a number
-
+
474395064 = 23311131747173
BaseRepresentation
bin11100010001101…
…011000110111000
31020001122202200120
4130101223012320
51432421120224
6115023533240
714520201663
oct3421530670
91201582616
10474395064
11223869040
12112a5a220
137738b750
144700c6da
152b9ab779
hex1c46b1b8

474395064 has 256 divisors, whose sum is σ = 1515386880. Its totient is φ = 121528320.

The previous prime is 474395029. The next prime is 474395069. The reversal of 474395064 is 460593474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474395069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2742082 + ... + 2742254.

It is an arithmetic number, because the mean of its divisors is an integer number (5919480).

Almost surely, 2474395064 is an apocalyptic number.

474395064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474395064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757693440).

474395064 is an abundant number, since it is smaller than the sum of its proper divisors (1040991816).

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

474395064 is a wasteful number, since it uses less digits than its factorization.

474395064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 474395064 is about 21780.6121126106. The cubic root of 474395064 is about 779.9140076140.

The spelling of 474395064 in words is "four hundred seventy-four million, three hundred ninety-five thousand, sixty-four".