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427764042 = 232591932087
BaseRepresentation
bin11001011111110…
…010100101001010
31002210220122221200
4121133302211022
51334001422132
6110240245030
713412635326
oct3137624512
91083818850
10427764042
111aa509502
12bb310776
136a812924
1440b50986
1527849d7c
hex197f294a

427764042 has 48 divisors (see below), whose sum is σ = 947868480. Its totient is φ = 139378176.

The previous prime is 427764037. The next prime is 427764049. The reversal of 427764042 is 240467724.

It is a happy number.

427764042 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 640 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 427763988 and 427764006.

It is not an unprimeable number, because it can be changed into a prime (427764049) 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, 203923 + ... + 206009.

It is an arithmetic number, because the mean of its divisors is an integer number (19747260).

Almost surely, 2427764042 is an apocalyptic number.

427764042 is an abundant number, since it is smaller than the sum of its proper divisors (520104438).

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

427764042 is a wasteful number, since it uses less digits than its factorization.

427764042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 427764042 is about 20682.4573491643. The cubic root of 427764042 is about 753.4736891396.

The spelling of 427764042 in words is "four hundred twenty-seven million, seven hundred sixty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 59 118 177 193 354 386 531 579 1062 1158 1737 2087 3474 4174 6261 11387 12522 18783 22774 34161 37566 68322 102483 123133 204966 246266 369399 402791 738798 805582 1108197 1208373 2216394 2416746 3625119 7250238 23764669 47529338 71294007 142588014 213882021 427764042