Search a number
-
+
29560284 = 22321383761
BaseRepresentation
bin111000011000…
…0110111011100
32001121211002100
41300300313130
530031412114
62533325100
7506154405
oct160606734
961554070
1029560284
1115760096
129a96790
13617cac0
143cd69ac
1528dd909
hex1c30ddc

29560284 has 72 divisors (see below), whose sum is σ = 81546192. Its totient is φ = 8974080.

The previous prime is 29560283. The next prime is 29560291. The reversal of 29560284 is 48206592.

It is a happy number.

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 (29560283) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38464 + ... + 39224.

It is an arithmetic number, because the mean of its divisors is an integer number (1132586).

Almost surely, 229560284 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 29560284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40773096).

29560284 is an abundant number, since it is smaller than the sum of its proper divisors (51985908).

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

29560284 is a wasteful number, since it uses less digits than its factorization.

29560284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 29560284 is about 5436.9370053367. The cubic root of 29560284 is about 309.1976615742.

The spelling of 29560284 in words is "twenty-nine million, five hundred sixty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 761 996 1079 1494 1522 2158 2283 2988 3044 3237 4316 4566 6474 6849 9132 9711 9893 12948 13698 19422 19786 27396 29679 38844 39572 59358 63163 89037 118716 126326 178074 189489 252652 356148 378978 568467 757956 821119 1136934 1642238 2273868 2463357 3284476 4926714 7390071 9853428 14780142 29560284