Search a number
-
+
473091840 = 28375132
BaseRepresentation
bin11100001100101…
…100111100000000
31012222012120000000
4130030230330000
51432102414330
6114540000000
714503133334
oct3414547400
91188176000
10473091840
112230589a1
12112530000
1377023500
1446b8d7c4
152b800560
hex1c32cf00

473091840 has 432 divisors, whose sum is σ = 1840335840. Its totient is φ = 116453376.

The previous prime is 473091823. The next prime is 473091841. The reversal of 473091840 is 48190374.

It is a happy number.

473091840 is a `hidden beast` number, since 473 + 0 + 9 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 473091795 and 473091804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473091841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36391674 + ... + 36391686.

Almost surely, 2473091840 is an apocalyptic number.

473091840 is a gapful number since it is divisible by the number (40) 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 473091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920167920).

473091840 is an abundant number, since it is smaller than the sum of its proper divisors (1367244000).

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

473091840 is an frugal number, since it uses more digits than its factorization.

473091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 473091840 is about 21750.6744723009. The cubic root of 473091840 is about 779.1991780817.

The spelling of 473091840 in words is "four hundred seventy-three million, ninety-one thousand, eight hundred forty".