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429597201 = 311192412843
BaseRepresentation
bin11001100110110…
…010001000010001
31002221100210120110
4121212302020101
51334434102301
6110343431533
713434341655
oct3146621021
91087323513
10429597201
11200550810
12bba555a9
136b005137
14410aaa65
1527aad0d6
hex199b2211

429597201 has 32 divisors (see below), whose sum is σ = 660718080. Its totient is φ = 245548800.

The previous prime is 429597199. The next prime is 429597251. The reversal of 429597201 is 102795924.

It is not a de Polignac number, because 429597201 - 21 = 429597199 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 429597201.

It is not an unprimeable number, because it can be changed into a prime (429597251) 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, 149686 + ... + 152528.

It is an arithmetic number, because the mean of its divisors is an integer number (20647440).

Almost surely, 2429597201 is an apocalyptic number.

It is an amenable number.

429597201 is a deficient number, since it is larger than the sum of its proper divisors (231120879).

429597201 is a wasteful number, since it uses less digits than its factorization.

429597201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 429597201 is about 20726.7267314451. The cubic root of 429597201 is about 754.5484784718.

The spelling of 429597201 in words is "four hundred twenty-nine million, five hundred ninety-seven thousand, two hundred one".

Divisors: 1 3 11 19 33 57 209 241 627 723 2651 2843 4579 7953 8529 13737 31273 50369 54017 93819 151107 162051 594187 685163 1782561 2055489 7536793 13018097 22610379 39054291 143199067 429597201