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427876281 = 32721757073
BaseRepresentation
bin11001100000001…
…101111110111001
31002211010100220200
4121200031332321
51334014020111
6110242512413
713413613500
oct3140157671
91084110820
10427876281
111aa585868
12bb365709
136a851a41
1440b7d837
152786d256
hex1980dfb9

427876281 has 36 divisors (see below), whose sum is σ = 761253012. Its totient is φ = 230114304.

The previous prime is 427876279. The next prime is 427876283. The reversal of 427876281 is 182678724.

It is an interprime number because it is at equal distance from previous prime (427876279) and next prime (427876283).

It can be written as a sum of positive squares in 2 ways, for example, as 334560681 + 93315600 = 18291^2 + 9660^2 .

It is not a de Polignac number, because 427876281 - 21 = 427876279 is a prime.

It is a super-2 number, since 2×4278762812 = 366156223684781922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427876283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21040 + ... + 36033.

It is an arithmetic number, because the mean of its divisors is an integer number (21145917).

Almost surely, 2427876281 is an apocalyptic number.

It is an amenable number.

427876281 is a deficient number, since it is larger than the sum of its proper divisors (333376731).

427876281 is a wasteful number, since it uses less digits than its factorization.

427876281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57110 (or 57100 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 427876281 is about 20685.1705576725. The cubic root of 427876281 is about 753.5395835188.

The spelling of 427876281 in words is "four hundred twenty-seven million, eight hundred seventy-six thousand, two hundred eighty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 57073 171219 399511 513657 970241 1198533 2796577 2910723 3595599 6791687 8389731 8732169 20375061 25169193 47541809 61125183 142625427 427876281