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427583664 = 2433989777
BaseRepresentation
bin11001011111000…
…110100010110000
31002210120111112000
4121133012202300
51333430134124
6110232334000
713411254414
oct3137064260
91083514460
10427583664
111aa3a5a32
12bb244300
136a77b7b1
1440b04d44
15278116c9
hex197c68b0

427583664 has 40 divisors (see below), whose sum is σ = 1227324720. Its totient is φ = 142527744.

The previous prime is 427583573. The next prime is 427583669. The reversal of 427583664 is 466385724.

427583664 is a `hidden beast` number, since 4 + 2 + 7 + 583 + 6 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (427583669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494457 + ... + 495320.

It is an arithmetic number, because the mean of its divisors is an integer number (30683118).

Almost surely, 2427583664 is an apocalyptic number.

It is an amenable number.

427583664 is an abundant number, since it is smaller than the sum of its proper divisors (799741056).

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

427583664 is a wasteful number, since it uses less digits than its factorization.

427583664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989794 (or 989782 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 427583664 is about 20678.0962373232. The cubic root of 427583664 is about 753.3677668931.

The spelling of 427583664 in words is "four hundred twenty-seven million, five hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 989777 1979554 2969331 3959108 5938662 7918216 8907993 11877324 15836432 17815986 23754648 26723979 35631972 47509296 53447958 71263944 106895916 142527888 213791832 427583664