Search a number
-
+
474005248 = 2810916987
BaseRepresentation
bin11100010000001…
…011111100000000
31020000220221221221
4130100023330000
51432321131443
6115011324424
714513656333
oct3420137400
91200827857
10474005248
11223622182
121128b0714
13772831a2
1446d4a61a
152b930eed
hex1c40bf00

474005248 has 36 divisors (see below), whose sum is σ = 954895480. Its totient is φ = 234814464.

The previous prime is 474005243. The next prime is 474005249. The reversal of 474005248 is 842500474.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474005243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19411 + ... + 36397.

Almost surely, 2474005248 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 474005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477447740).

474005248 is an abundant number, since it is smaller than the sum of its proper divisors (480890232).

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

474005248 is a wasteful number, since it uses less digits than its factorization.

474005248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17112 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 474005248 is about 21771.6615810553. The cubic root of 474005248 is about 779.7003275732.

The spelling of 474005248 in words is "four hundred seventy-four million, five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 6976 13952 16987 27904 33974 67948 135896 271792 543584 1087168 1851583 2174336 3703166 4348672 7406332 14812664 29625328 59250656 118501312 237002624 474005248