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429986682 = 232196120611
BaseRepresentation
bin11001101000010…
…001001101111010
31002222002120211200
4121220101031322
51340034033212
6110400035030
713440553326
oct3150211572
91088076750
10429986682
112007973a4
12100002a76
136b1104b8
144116c986
1527b386dc
hex19a1137a

429986682 has 48 divisors (see below), whose sum is σ = 996796320. Its totient is φ = 133552800.

The previous prime is 429986653. The next prime is 429986699. The reversal of 429986682 is 286689924.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10557 + ... + 31167.

It is an arithmetic number, because the mean of its divisors is an integer number (20766590).

Almost surely, 2429986682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429986682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498398160).

429986682 is an abundant number, since it is smaller than the sum of its proper divisors (566809638).

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

429986682 is a wasteful number, since it uses less digits than its factorization.

429986682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20699 (or 20696 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 429986682 is about 20736.1202253459. The cubic root of 429986682 is about 754.7764389325.

The spelling of 429986682 in words is "four hundred twenty-nine million, nine hundred eighty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1098 1159 2318 3477 6954 10431 20611 20862 41222 61833 123666 185499 370998 391609 783218 1174827 1257271 2349654 2514542 3524481 3771813 7048962 7543626 11315439 22630878 23888149 47776298 71664447 143328894 214993341 429986682