Search a number
-
+
801640476 = 22377131953
BaseRepresentation
bin101111110010000…
…001000000011100
32001212102120000000
4233302001000130
53120204443401
6211313534300
725602555150
oct5762010034
92055376000
10801640476
1138156139a
121a4574390
13ca1087a0
1478675060
154a59d186
hex2fc8101c

801640476 has 384 divisors, whose sum is σ = 2777241600. Its totient is φ = 196515072.

The previous prime is 801640471. The next prime is 801640523. The reversal of 801640476 is 674046108.

801640476 is a `hidden beast` number, since 8 + 0 + 1 + 640 + 4 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 801640476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801640471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15125266 + ... + 15125318.

It is an arithmetic number, because the mean of its divisors is an integer number (7232400).

Almost surely, 2801640476 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 801640476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388620800).

801640476 is an abundant number, since it is smaller than the sum of its proper divisors (1975601124).

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

801640476 is a wasteful number, since it uses less digits than its factorization.

801640476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 801640476 is about 28313.2561885771. The cubic root of 801640476 is about 928.9518680818.

The spelling of 801640476 in words is "eight hundred one million, six hundred forty thousand, four hundred seventy-six".