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420041961 = 32476714821
BaseRepresentation
bin11001000010010…
…101010011101001
31002021101100020200
4121002111103221
51330012320321
6105402542413
713260204063
oct3102252351
91067340220
10420041961
111a6114819
12b8807a09
136903ab51
143db00733
1526d21d26
hex190954e9

420041961 has 24 divisors (see below), whose sum is σ = 628927104. Its totient is φ = 269961120.

The previous prime is 420041861. The next prime is 420041983. The reversal of 420041961 is 169140024.

It is not a de Polignac number, because 420041961 - 27 = 420041833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420041161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20931 + ... + 35751.

It is an arithmetic number, because the mean of its divisors is an integer number (26205296).

Almost surely, 2420041961 is an apocalyptic number.

It is an amenable number.

420041961 is a deficient number, since it is larger than the sum of its proper divisors (208885143).

420041961 is a wasteful number, since it uses less digits than its factorization.

420041961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 420041961 is about 20494.9252499247. The cubic root of 420041961 is about 748.9121776195.

Adding to 420041961 its reverse (169140024), we get a palindrome (589181985).

The spelling of 420041961 in words is "four hundred twenty million, forty-one thousand, nine hundred sixty-one".

Divisors: 1 3 9 47 67 141 201 423 603 3149 9447 14821 28341 44463 133389 696587 993007 2089761 2979021 6269283 8937063 46671329 140013987 420041961