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429228261 = 3371121372
BaseRepresentation
bin11001100101011…
…000000011100101
31002220200001111000
4121211120003211
51334340301021
6110331503513
713431244230
oct3145300345
91086601430
10429228261
11200319600
12bb8b7b99
136ac06227
1441012417
1527a38b26
hex199580e5

429228261 has 72 divisors (see below), whose sum is σ = 804681920. Its totient is φ = 221348160.

The previous prime is 429228229. The next prime is 429228281. The reversal of 429228261 is 162822924.

429228261 is a `hidden beast` number, since 429 + 228 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 429228261 - 25 = 429228229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429228281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3132985 + ... + 3133121.

Almost surely, 2429228261 is an apocalyptic number.

It is an amenable number.

429228261 is a deficient number, since it is larger than the sum of its proper divisors (375453659).

429228261 is a wasteful number, since it uses less digits than its factorization.

429228261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 158 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 429228261 is about 20717.8247168954. The cubic root of 429228261 is about 754.3324134034.

The spelling of 429228261 in words is "four hundred twenty-nine million, two hundred twenty-eight thousand, two hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 137 189 231 297 363 411 693 847 959 1089 1233 1507 2079 2541 2877 3267 3699 4521 7623 8631 10549 13563 16577 18769 22869 25893 31647 40689 49731 56307 94941 116039 131383 149193 168921 206459 284823 348117 394149 447579 506763 619377 1044351 1182447 1445213 1858131 2271049 3133053 3547341 4335639 5574393 6813147 13006917 15897343 20439441 39020751 47692029 61318323 143076087 429228261