Search a number
-
+
474842004 = 22371333183
BaseRepresentation
bin11100010011011…
…000001110010100
31020002111110202220
4130103120032110
51433024421004
6115041302340
714524043010
oct3423301624
91202443686
10474842004
1122404390a
121130349b0
13774b7000
14470c7540
152ba48dd9
hex1c4d8394

474842004 has 192 divisors, whose sum is σ = 1433026560. Its totient is φ = 119733120.

The previous prime is 474841993. The next prime is 474842009. The reversal of 474842004 is 400248474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474842009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5720947 + ... + 5721029.

It is an arithmetic number, because the mean of its divisors is an integer number (7463680).

Almost surely, 2474842004 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 474842004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716513280).

474842004 is an abundant number, since it is smaller than the sum of its proper divisors (958184556).

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

474842004 is a wasteful number, since it uses less digits than its factorization.

474842004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 474842004 is about 21790.8697394115. The cubic root of 474842004 is about 780.1588565336.

The spelling of 474842004 in words is "four hundred seventy-four million, eight hundred forty-two thousand, four".