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429064860 = 223572935227
BaseRepresentation
bin11001100100110…
…000001010011100
31002220100202100010
4121210300022130
51334320033420
6110324203220
713426663650
oct3144601234
91086322303
10429064860
11200217864
12bb839510
136ab79a43
1440daca60
1527a054e0
hex1993029c

429064860 has 96 divisors (see below), whose sum is σ = 1420392960. Its totient is φ = 94687488.

The previous prime is 429064847. The next prime is 429064871. The reversal of 429064860 is 68460924.

It is a congruent number.

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, 5434 + ... + 29793.

It is an arithmetic number, because the mean of its divisors is an integer number (14795760).

Almost surely, 2429064860 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 429064860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710196480).

429064860 is an abundant number, since it is smaller than the sum of its proper divisors (991328100).

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

429064860 is a wasteful number, since it uses less digits than its factorization.

429064860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35275 (or 35273 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 429064860 is about 20713.8808531863. The cubic root of 429064860 is about 754.2366801024.

It can be divided in two parts, 429064 and 860, that added together give a palindrome (429924).

The spelling of 429064860 in words is "four hundred twenty-nine million, sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 35227 70454 105681 140908 176135 211362 246589 352270 422724 493178 528405 704540 739767 986356 1021583 1056810 1232945 1479534 2043166 2113620 2465890 2959068 3064749 3698835 4086332 4931780 5107915 6129498 7151081 7397670 10215830 12258996 14302162 14795340 15323745 20431660 21453243 28604324 30647490 35755405 42906486 61294980 71510810 85812972 107266215 143021620 214532430 429064860