Search a number
-
+
474541056 = 210321131151
BaseRepresentation
bin11100010010001…
…110110000000000
31020001221011221200
4130102032300000
51432440303211
6115031021200
714521350423
oct3422166000
91201834850
10474541056
112239587a0
12112b0a800
1377410032
14470499ba
152b9d9b56
hex1c48ec00

474541056 has 264 divisors, whose sum is σ = 1553230848. Its totient is φ = 138240000.

The previous prime is 474541033. The next prime is 474541057. The reversal of 474541056 is 650145474.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 474541056.

It is not an unprimeable number, because it can be changed into a prime (474541057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142581 + ... + 3142731.

Almost surely, 2474541056 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 474541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776615424).

474541056 is an abundant number, since it is smaller than the sum of its proper divisors (1078689792).

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

474541056 is a wasteful number, since it uses less digits than its factorization.

474541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 474541056 is about 21783.9632757678. The cubic root of 474541056 is about 779.9940038987.

The spelling of 474541056 in words is "four hundred seventy-four million, five hundred forty-one thousand, fifty-six".