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429493530 = 23531895189
BaseRepresentation
bin11001100110011…
…000110100011010
31002221011112100210
4121212120310122
51334422243110
6110341311550
713433430504
oct3146306432
91087145323
10429493530
1120048a934
12bba055b6
136ac99bab
1441080d74
1527a8c520
hex19998d1a

429493530 has 64 divisors (see below), whose sum is σ = 1076198400. Its totient is φ = 109570560.

The previous prime is 429493523. The next prime is 429493531. The reversal of 429493530 is 35394924.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (429493531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80176 + ... + 85364.

It is an arithmetic number, because the mean of its divisors is an integer number (16815600).

Almost surely, 2429493530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429493530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538099200).

429493530 is an abundant number, since it is smaller than the sum of its proper divisors (646704870).

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

429493530 is a wasteful number, since it uses less digits than its factorization.

429493530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319.

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 429493530 is about 20724.2256791418. The cubic root of 429493530 is about 754.4877773558.

The spelling of 429493530 in words is "four hundred twenty-nine million, four hundred ninety-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 89 93 155 178 186 267 310 445 465 534 890 930 1335 2670 2759 5189 5518 8277 10378 13795 15567 16554 25945 27590 31134 41385 51890 77835 82770 155670 160859 321718 461821 482577 804295 923642 965154 1385463 1608590 2309105 2412885 2770926 4618210 4825770 6927315 13854630 14316451 28632902 42949353 71582255 85898706 143164510 214746765 429493530