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29095272 = 23321014001
BaseRepresentation
bin110111011111…
…1010101101000
32000202012012200
41232333111220
524422022042
62515340200
7502206603
oct156772550
960665180
1029095272
1115472788
1298b1660
13604924b
143c1533a
15284ac4c
hex1bbf568

29095272 has 48 divisors (see below), whose sum is σ = 79599780. Its totient is φ = 9600000.

The previous prime is 29095259. The next prime is 29095273. The reversal of 29095272 is 27259092.

It can be written as a sum of positive squares in 2 ways, for example, as 29095236 + 36 = 5394^2 + 6^2 .

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

It is not an unprimeable number, because it can be changed into a prime (29095273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5272 + ... + 9272.

Almost surely, 229095272 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 29095272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39799890).

29095272 is an abundant number, since it is smaller than the sum of its proper divisors (50504508).

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

29095272 is a wasteful number, since it uses less digits than its factorization.

29095272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 29095272 is about 5394.0033370401. The cubic root of 29095272 is about 307.5677582192.

Subtracting from 29095272 its sum of digits (36), we obtain a square (29095236 = 53942).

The spelling of 29095272 in words is "twenty-nine million, ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 4001 7272 8002 12003 16004 24006 32008 36009 48012 72018 96024 144036 288072 404101 808202 1212303 1616404 2424606 3232808 3636909 4849212 7273818 9698424 14547636 29095272