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427133407 = 31611072111
BaseRepresentation
bin11001011101011…
…000100111011111
31002202201121212211
4121131120213133
51333321232112
6110214541251
713404400621
oct3135304737
91082647784
10427133407
111aa118718
12bb067827
136a65187c
1440a28c11
15277730a7
hex197589df

427133407 has 16 divisors (see below), whose sum is σ = 452542464. Its totient is φ = 402588000.

The previous prime is 427133387. The next prime is 427133411. The reversal of 427133407 is 704331724.

It is a cyclic number.

It is not a de Polignac number, because 427133407 - 211 = 427131359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427133467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201282 + ... + 203392.

It is an arithmetic number, because the mean of its divisors is an integer number (28283904).

Almost surely, 2427133407 is an apocalyptic number.

427133407 is a deficient number, since it is larger than the sum of its proper divisors (25409057).

427133407 is a wasteful number, since it uses less digits than its factorization.

427133407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310.

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 427133407 is about 20667.2060762939. The cubic root of 427133407 is about 753.1032352359.

The spelling of 427133407 in words is "four hundred twenty-seven million, one hundred thirty-three thousand, four hundred seven".

Divisors: 1 31 61 107 1891 2111 3317 6527 65441 128771 202337 225877 3991901 7002187 13778497 427133407