Search a number
-
+
6429474 = 23229109113
BaseRepresentation
bin11000100001101100100010
3110002122120200
4120201230202
53121220344
6345450030
7105435552
oct30415442
913078520
106429474
1136a1617
1221a0916
13144162c
14bd5162
15870069
hex621b22

6429474 has 48 divisors (see below), whose sum is σ = 14671800. Its totient is φ = 2032128.

The previous prime is 6429463. The next prime is 6429481. The reversal of 6429474 is 4749246.

6429474 is a `hidden beast` number, since 642 + 9 + 4 + 7 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4347225 + 2082249 = 2085^2 + 1443^2 .

Its product of digits (48384) is a multiple of the sum of its prime divisors (256).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56842 + ... + 56954.

Almost surely, 26429474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6429474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335900).

6429474 is an abundant number, since it is smaller than the sum of its proper divisors (8242326).

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

6429474 is a wasteful number, since it uses less digits than its factorization.

6429474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6429474 is about 2535.6407474246. The cubic root of 6429474 is about 185.9481298304.

It can be divided in two parts, 6429 and 474, that added together give a triangular number (6903 = T117).

The spelling of 6429474 in words is "six million, four hundred twenty-nine thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 29 58 87 109 113 174 218 226 261 327 339 522 654 678 981 1017 1962 2034 3161 3277 6322 6554 9483 9831 12317 18966 19662 24634 28449 29493 36951 56898 58986 73902 110853 221706 357193 714386 1071579 2143158 3214737 6429474