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429125390 = 251773151229
BaseRepresentation
bin11001100100111…
…110111100001110
31002220110211100222
4121210332330032
51334324003030
6110325351342
713430335301
oct3144767416
91086424328
10429125390
11200259291
12bb868552
136ab9b465
1440dc6b38
1527a183e5
hex1993ef0e

429125390 has 64 divisors (see below), whose sum is σ = 838200960. Its totient is φ = 157593600.

The previous prime is 429125377. The next prime is 429125399. The reversal of 429125390 is 93521924.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 429125390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429125399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1873796 + ... + 1874024.

It is an arithmetic number, because the mean of its divisors is an integer number (13096890).

Almost surely, 2429125390 is an apocalyptic number.

429125390 is a deficient number, since it is larger than the sum of its proper divisors (409075570).

429125390 is a wasteful number, since it uses less digits than its factorization.

429125390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 429125390 is about 20715.3418991819. The cubic root of 429125390 is about 754.2721462240.

The spelling of 429125390 in words is "four hundred twenty-nine million, one hundred twenty-five thousand, three hundred ninety".

Divisors: 1 2 5 10 17 34 73 85 146 151 170 229 302 365 458 730 755 1145 1241 1510 2290 2482 2567 3893 5134 6205 7786 11023 12410 12835 16717 19465 22046 25670 33434 34579 38930 55115 69158 83585 110230 167170 172895 187391 284189 345790 374782 568378 587843 936955 1175686 1420945 1873910 2524267 2841890 2939215 5048534 5878430 12621335 25242670 42912539 85825078 214562695 429125390