Search a number
-
+
29912272 = 2413314639
BaseRepresentation
bin111001000011…
…0110011010000
32002021200220221
41302012303100
530124143042
62545042424
7512151535
oct162066320
962250827
1029912272
1115980595
12a026414
136274090
143d88d8c
15295cd67
hex1c86cd0

29912272 has 40 divisors (see below), whose sum is σ = 64440320. Its totient is φ = 13357440.

The previous prime is 29912269. The next prime is 29912273. The reversal of 29912272 is 27221992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29912273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4129 + ... + 8767.

It is an arithmetic number, because the mean of its divisors is an integer number (1611008).

Almost surely, 229912272 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 29912272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32220160).

29912272 is an abundant number, since it is smaller than the sum of its proper divisors (34528048).

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

29912272 is a wasteful number, since it uses less digits than its factorization.

29912272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 29912272 is about 5469.2112776890. The cubic root of 29912272 is about 310.4200756669.

The spelling of 29912272 in words is "twenty-nine million, nine hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 4639 6448 9278 18556 37112 60307 74224 120614 143809 241228 287618 482456 575236 964912 1150472 1869517 2300944 3739034 7478068 14956136 29912272