Search a number
-
+
29719872 = 26367213
BaseRepresentation
bin111000101011…
…1110101000000
32001220221000000
41301113311000
530102013442
62541000000
7510420600
oct161276500
961827000
1029719872
1115859a86
129b53000
136207630
143d38c00
152920d4c
hex1c57d40

29719872 has 294 divisors, whose sum is σ = 110771178. Its totient is φ = 7838208.

The previous prime is 29719853. The next prime is 29719891. The reversal of 29719872 is 27891792.

It is an interprime number because it is at equal distance from previous prime (29719853) and next prime (29719891).

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 9144576 = 4536^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2286138 + ... + 2286150.

Almost surely, 229719872 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 29719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55385589).

29719872 is an abundant number, since it is smaller than the sum of its proper divisors (81051306).

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

29719872 is an equidigital number, since it uses as much as digits as its factorization.

29719872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 29719872 is about 5451.5935285016. The cubic root of 29719872 is about 309.7530881623.

The spelling of 29719872 in words is "twenty-nine million, seven hundred nineteen thousand, eight hundred seventy-two".