Search a number
-
+
29767985 = 5131572917
BaseRepresentation
bin111000110001…
…1100100110001
32002000100222222
41301203210301
530110033420
62542010425
7511011062
oct161434461
962010888
1029767985
1115892145
129b76a15
1362234c0
143d4c569
152930225
hex1c63931

29767985 has 16 divisors (see below), whose sum is σ = 38727696. Its totient is φ = 21835008.

The previous prime is 29767979. The next prime is 29767993. The reversal of 29767985 is 58976792.

It can be written as a sum of positive squares in 8 ways, for example, as 49 + 29767936 = 7^2 + 5456^2 .

It is not a de Polignac number, because 29767985 - 28 = 29767729 is a prime.

It is a super-2 number, since 2×297679852 = 1772265861920450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8747 + ... + 11663.

It is an arithmetic number, because the mean of its divisors is an integer number (2420481).

Almost surely, 229767985 is an apocalyptic number.

It is an amenable number.

29767985 is a deficient number, since it is larger than the sum of its proper divisors (8959711).

29767985 is a wasteful number, since it uses less digits than its factorization.

29767985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092.

The product of its digits is 1905120, while the sum is 53.

The square root of 29767985 is about 5456.0044904674. The cubic root of 29767985 is about 309.9201493955.

The spelling of 29767985 in words is "twenty-nine million, seven hundred sixty-seven thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 157 785 2041 2917 10205 14585 37921 189605 457969 2289845 5953597 29767985