Search a number
-
+
429432894 = 233113123321
BaseRepresentation
bin11001100110001…
…010000000111110
31002221001110012000
4121212022000332
51334413323034
6110340123130
713433055642
oct3146120076
91087043160
10429432894
11200449320
12bb9964a6
136ac78407
1441066c22
1527a79599
hex1998a03e

429432894 has 64 divisors (see below), whose sum is σ = 1074677760. Its totient is φ = 125928000.

The previous prime is 429432881. The next prime is 429432901. The reversal of 429432894 is 498234924.

It is a happy number.

It is a super-2 number, since 2×4294328942 = 368825220898430472, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6754 + ... + 30074.

It is an arithmetic number, because the mean of its divisors is an integer number (16791840).

Almost surely, 2429432894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429432894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537338880).

429432894 is an abundant number, since it is smaller than the sum of its proper divisors (645244866).

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

429432894 is a wasteful number, since it uses less digits than its factorization.

429432894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23374 (or 23368 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 429432894 is about 20722.7627019179. The cubic root of 429432894 is about 754.4522694294.

The spelling of 429432894 in words is "four hundred twenty-nine million, four hundred thirty-two thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414 23321 46642 69963 139926 209889 256531 419778 513062 629667 722951 769593 1259334 1445902 1539186 2168853 2308779 4337706 4617558 6506559 6926337 7952461 13013118 13852674 15904922 19519677 23857383 39039354 47714766 71572149 143144298 214716447 429432894