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429892890 = 235717311833
BaseRepresentation
bin11001100111111…
…010010100011010
31002221220211011220
4121213322110122
51340023033030
6110354032510
713440013020
oct3147722432
91087824156
10429892890
11200732989
12bbb78736
136b0a98bb
1441146710
1527b1aa10
hex199fa51a

429892890 has 64 divisors (see below), whose sum is σ = 1186050816. Its totient is φ = 97684992.

The previous prime is 429892867. The next prime is 429892907. The reversal of 429892890 is 98298924.

It is a Curzon 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, 30414 + ... + 42246.

It is an arithmetic number, because the mean of its divisors is an integer number (18532044).

Almost surely, 2429892890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429892890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593025408).

429892890 is an abundant number, since it is smaller than the sum of its proper divisors (756157926).

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

429892890 is a wasteful number, since it uses less digits than its factorization.

429892890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12023.

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 429892890 is about 20733.8585410434. The cubic root of 429892890 is about 754.7215557291.

The spelling of 429892890 in words is "four hundred twenty-nine million, eight hundred ninety-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 519 865 1038 1211 1730 2422 2595 3633 5190 6055 7266 11833 12110 18165 23666 35499 36330 59165 70998 82831 118330 165662 177495 248493 354990 414155 496986 828310 1242465 2047109 2484930 4094218 6141327 10235545 12282654 14329763 20471090 28659526 30706635 42989289 61413270 71648815 85978578 143297630 214946445 429892890