Search a number
-
+
29860992 = 273272232
BaseRepresentation
bin111000111101…
…0010010000000
32002012002120200
41301322102000
530121022432
62544005200
7511546200
oct161722200
962162520
1029860992
1115946007
12a000800
136256935
143d74400
15294ca7c
hex1c7a480

29860992 has 216 divisors, whose sum is σ = 104492115. Its totient is φ = 8160768.

The previous prime is 29860939. The next prime is 29861003. The reversal of 29860992 is 29906892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 14930496 = 3864^2 + 3864^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3864.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1298293 + ... + 1298315.

Almost surely, 229860992 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 29860992

29860992 is an abundant number, since it is smaller than the sum of its proper divisors (74631123).

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

29860992 is a wasteful number, since it uses less digits than its factorization.

29860992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 29860992 is about 5464.5212050096. The cubic root of 29860992 is about 310.2425850072.

The spelling of 29860992 in words is "twenty-nine million, eight hundred sixty thousand, nine hundred ninety-two".