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420618692 = 221321722153
BaseRepresentation
bin11001000100100…
…010000111000100
31002022110122101002
4121010202013010
51330134244232
6105423152432
713265125364
oct3104420704
91068418332
10420618692
111a647905a
12b8a45718
13691b0500
143dc109a4
1526dd7b62
hex191221c4

420618692 has 54 divisors (see below), whose sum is σ = 847097118. Its totient is φ = 182627328.

The previous prime is 420618689. The next prime is 420618703. The reversal of 420618692 is 296816024.

It can be written as a sum of positive squares in 9 ways, for example, as 192487876 + 228130816 = 13874^2 + 15104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194288 + ... + 196440.

Almost surely, 2420618692 is an apocalyptic number.

It is an amenable number.

420618692 is an abundant number, since it is smaller than the sum of its proper divisors (426478426).

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

420618692 is a wasteful number, since it uses less digits than its factorization.

420618692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 420618692 is about 20508.9905163565. The cubic root of 420618692 is about 749.2547809619.

The spelling of 420618692 in words is "four hundred twenty million, six hundred eighteen thousand, six hundred ninety-two".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 884 1156 2153 2873 3757 4306 5746 7514 8612 11492 15028 27989 36601 48841 55978 73202 97682 111956 146404 195364 363857 475813 622217 727714 951626 1244434 1455428 1903252 2488868 6185569 8088821 12371138 16177642 24742276 32355284 105154673 210309346 420618692