Search a number
-
+
29161472 = 21129491
BaseRepresentation
bin110111100111…
…1100000000000
32000212120000112
41233033200000
524431131342
62521010452
7502603604
oct157174000
960776015
1029161472
111550849a
129923a28
136070412
143c31504
152860682
hex1bcf800

29161472 has 48 divisors (see below), whose sum is σ = 60442200. Its totient is φ = 14049280.

The previous prime is 29161471. The next prime is 29161553. The reversal of 29161472 is 27416192.

It is a happy number.

29161472 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29161471) 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 3 ways as a sum of consecutive naturals, for example, 59147 + ... + 59637.

Almost surely, 229161472 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 29161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30221100).

29161472 is an abundant number, since it is smaller than the sum of its proper divisors (31280728).

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

29161472 is an equidigital number, since it uses as much as digits as its factorization.

29161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 522 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 29161472 is about 5400.1362945763. The cubic root of 29161472 is about 307.8008495011.

The spelling of 29161472 in words is "twenty-nine million, one hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 491 512 928 982 1024 1856 1964 2048 3712 3928 7424 7856 14239 14848 15712 28478 29696 31424 56956 59392 62848 113912 125696 227824 251392 455648 502784 911296 1005568 1822592 3645184 7290368 14580736 29161472