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420735852 = 223231337339
BaseRepresentation
bin11001000100111…
…110101101101100
31002022200121002100
4121010332231230
51330202021402
6105425455100
713266124065
oct3104765554
91068617070
10420735852
111a6549089
12b8aa1490
1369221934
143dc4156c
1526e0c71c
hex1913eb6c

420735852 has 36 divisors (see below), whose sum is σ = 1066953160. Its totient is φ = 139793472.

The previous prime is 420735793. The next prime is 420735863. The reversal of 420735852 is 258537024.

420735852 is a `hidden beast` number, since 4 + 2 + 0 + 73 + 585 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7402 + ... + 29937.

Almost surely, 2420735852 is an apocalyptic number.

It is an amenable number.

420735852 is an abundant number, since it is smaller than the sum of its proper divisors (646217308).

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

420735852 is a wasteful number, since it uses less digits than its factorization.

420735852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37662 (or 37657 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 420735852 is about 20511.8466257916. The cubic root of 420735852 is about 749.3243408290.

The spelling of 420735852 in words is "four hundred twenty million, seven hundred thirty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 313 626 939 1252 1878 2817 3756 5634 11268 37339 74678 112017 149356 224034 336051 448068 672102 1344204 11687107 23374214 35061321 46748428 70122642 105183963 140245284 210367926 420735852