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426556431 = 327431011559
BaseRepresentation
bin11001011011001…
…011110000001111
31002201122022102100
4121123023300033
51333144301211
6110154330143
713366445520
oct3133136017
91081568370
10426556431
111a9864184
12baa29953
136a4ac072
1440918847
15276ac156
hex196cbc0f

426556431 has 48 divisors (see below), whose sum is σ = 728133120. Its totient is φ = 235569600.

The previous prime is 426556423. The next prime is 426556483. The reversal of 426556431 is 134655624.

426556431 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 5 + 643 + 1 = 666.

It is not a de Polignac number, because 426556431 - 23 = 426556423 is a prime.

It is a super-2 number, since 2×4265564312 = 363900777654915522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426556421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272830 + ... + 274388.

It is an arithmetic number, because the mean of its divisors is an integer number (15169440).

Almost surely, 2426556431 is an apocalyptic number.

426556431 is a deficient number, since it is larger than the sum of its proper divisors (301576689).

426556431 is a wasteful number, since it uses less digits than its factorization.

426556431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1713 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 426556431 is about 20653.2426267644. The cubic root of 426556431 is about 752.7639826866.

The spelling of 426556431 in words is "four hundred twenty-six million, five hundred fifty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 43 63 101 129 301 303 387 707 903 909 1559 2121 2709 4343 4677 6363 10913 13029 14031 30401 32739 39087 67037 91203 98217 157459 201111 273609 469259 472377 603333 1102213 1407777 1417131 3306639 4223331 6770737 9919917 20312211 47395159 60936633 142185477 426556431