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196472961 = 32175324229
BaseRepresentation
bin10111011010111…
…11000010000001
3111200200212020100
423231133002001
5400244113321
631255033013
74603664316
oct1355370201
9450625210
10196472961
11a09a4053
125596b769
1331920ab9
141c144d0d
15123ae326
hexbb5f081

196472961 has 24 divisors (see below), whose sum is σ = 306170280. Its totient is φ = 120946176.

The previous prime is 196472959. The next prime is 196472981. The reversal of 196472961 is 169274691.

196472961 is a `hidden beast` number, since 1 + 96 + 472 + 96 + 1 = 666.

196472961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34292736 + 162180225 = 5856^2 + 12735^2 .

It is not a de Polignac number, because 196472961 - 21 = 196472959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (196472951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4006 + ... + 20223.

It is an arithmetic number, because the mean of its divisors is an integer number (12757095).

Almost surely, 2196472961 is an apocalyptic number.

It is an amenable number.

196472961 is a deficient number, since it is larger than the sum of its proper divisors (109697319).

196472961 is a wasteful number, since it uses less digits than its factorization.

196472961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24305 (or 24302 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 196472961 is about 14016.8812865059. The cubic root of 196472961 is about 581.3454308798.

The spelling of 196472961 in words is "one hundred ninety-six million, four hundred seventy-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 24229 72687 218061 411893 1235679 1284137 3707037 3852411 11557233 21830329 65490987 196472961