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428106129 = 31121161483
BaseRepresentation
bin11001100001000…
…110000110010001
31002211120001012120
4121201012012101
51334043344004
6110251444453
713415561553
oct3141060621
91084501176
10428106129
111aa722520
12bb456729
136a902549
1440bdd4d3
15278b63d9
hex19846191

428106129 has 16 divisors (see below), whose sum is σ = 625661184. Its totient is φ = 258224400.

The previous prime is 428106103. The next prime is 428106131. The reversal of 428106129 is 921601824.

It is not a de Polignac number, because 428106129 - 25 = 428106097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 428106129.

It is not an unprimeable number, because it can be changed into a prime (428106139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23779 + ... + 37704.

It is an arithmetic number, because the mean of its divisors is an integer number (39103824).

Almost surely, 2428106129 is an apocalyptic number.

It is an amenable number.

428106129 is a deficient number, since it is larger than the sum of its proper divisors (197555055).

428106129 is a wasteful number, since it uses less digits than its factorization.

428106129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61708.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 428106129 is about 20690.7256760124. The cubic root of 428106129 is about 753.6744889964.

The spelling of 428106129 in words is "four hundred twenty-eight million, one hundred six thousand, one hundred twenty-nine".

Divisors: 1 3 11 33 211 633 2321 6963 61483 184449 676313 2028939 12972913 38918739 142702043 428106129