Search a number
-
+
29092284 = 2234136907
BaseRepresentation
bin110111011111…
…0100110111100
32000202001010000
41232332212330
524421423114
62515314300
7502165104
oct156764674
960661100
1029092284
1115470511
1298ab990
136047a90
143c14204
152849e09
hex1bbe9bc

29092284 has 60 divisors (see below), whose sum is σ = 81915064. Its totient is φ = 8950176.

The previous prime is 29092277. The next prime is 29092289. The reversal of 29092284 is 48229092.

29092284 is a `hidden beast` number, since 290 + 92 + 284 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29092289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759 + ... + 7665.

Almost surely, 229092284 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 29092284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40957532).

29092284 is an abundant number, since it is smaller than the sum of its proper divisors (52822780).

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

29092284 is a wasteful number, since it uses less digits than its factorization.

29092284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29092284 is about 5393.7263556840. The cubic root of 29092284 is about 307.5572290866.

The spelling of 29092284 in words is "twenty-nine million, ninety-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 6907 13814 20721 27628 41442 62163 82884 89791 124326 179582 186489 248652 269373 359164 372978 538746 559467 745956 808119 1077492 1118934 1616238 2237868 2424357 3232476 4848714 7273071 9697428 14546142 29092284