Search a number
-
+
473523104 = 25412331549
BaseRepresentation
bin11100001110010…
…110001110100000
31020000000110120202
4130032112032200
51432210214404
6114553124332
714506610555
oct3416261640
91200013522
10473523104
11223322a0a
121126b96a8
13771448b2
1446c62a2c
152b88821e
hex1c3963a0

473523104 has 48 divisors (see below), whose sum is σ = 959704200. Its totient is φ = 229847040.

The previous prime is 473523097. The next prime is 473523119. The reversal of 473523104 is 401325374.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 175615504 + 297907600 = 13252^2 + 17260^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 304922 + ... + 306470.

Almost surely, 2473523104 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 473523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479852100).

473523104 is an abundant number, since it is smaller than the sum of its proper divisors (486181096).

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

473523104 is a wasteful number, since it uses less digits than its factorization.

473523104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 473523104 is about 21760.5860215207. The cubic root of 473523104 is about 779.4358752496.

Adding to 473523104 its reverse (401325374), we get a palindrome (874848478).

The spelling of 473523104 in words is "four hundred seventy-three million, five hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 233 328 466 656 932 1312 1549 1864 3098 3728 6196 7456 9553 12392 19106 24784 38212 49568 63509 76424 127018 152848 254036 305696 360917 508072 721834 1016144 1443668 2032288 2887336 5774672 11549344 14797597 29595194 59190388 118380776 236761552 473523104