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429496716 = 2231147107647
BaseRepresentation
bin11001100110011…
…001100110001100
31002221011200201210
4121212121212030
51334422343331
6110341334420
713433443005
oct3146314614
91087150653
10429496716
11200492270
12bba07410
136ac9b48c
14410821ac
1527a8d446
hex1999998c

429496716 has 96 divisors (see below), whose sum is σ = 1128701952. Its totient is φ = 125995840.

The previous prime is 429496709. The next prime is 429496751. The reversal of 429496716 is 617694924.

It is a happy number.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663505 + ... + 664151.

It is an arithmetic number, because the mean of its divisors is an integer number (11757312).

Almost surely, 2429496716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429496716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564350976).

429496716 is an abundant number, since it is smaller than the sum of its proper divisors (699205236).

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

429496716 is a wasteful number, since it uses less digits than its factorization.

429496716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 429496716 is about 20724.3025455623. The cubic root of 429496716 is about 754.4896429579.

The spelling of 429496716 in words is "four hundred twenty-nine million, four hundred ninety-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 107 132 141 188 214 282 321 428 517 564 642 647 1034 1177 1284 1294 1551 1941 2068 2354 2588 3102 3531 3882 4708 5029 6204 7062 7117 7764 10058 14124 14234 15087 20116 21351 28468 30174 30409 42702 55319 60348 60818 69229 85404 91227 110638 121636 138458 165957 182454 207687 221276 276916 331914 334499 364908 415374 663828 668998 761519 830748 1003497 1337996 1523038 2006994 2284557 3046076 3253763 4013988 4569114 6507526 9138228 9761289 13015052 19522578 35791393 39045156 71582786 107374179 143165572 214748358 429496716