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428093435 = 57117115661
BaseRepresentation
bin11001100001000…
…010111111111011
31002211112101210102
4121201002333323
51334042442220
6110251310015
713415506550
oct3141027773
91084471712
10428093435
111aa713a30
12bb44b30b
136a8c9833
1440bd8a27
15278b2775
hex19842ffb

428093435 has 32 divisors (see below), whose sum is σ = 649534464. Its totient is φ = 263088000.

The previous prime is 428093401. The next prime is 428093453. The reversal of 428093435 is 534390824.

It is not a de Polignac number, because 428093435 - 212 = 428089339 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 19505 + ... + 35165.

It is an arithmetic number, because the mean of its divisors is an integer number (20297952).

Almost surely, 2428093435 is an apocalyptic number.

428093435 is a deficient number, since it is larger than the sum of its proper divisors (221441029).

428093435 is a wasteful number, since it uses less digits than its factorization.

428093435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755.

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 428093435 is about 20690.4189179436. The cubic root of 428093435 is about 753.6670397232.

The spelling of 428093435 in words is "four hundred twenty-eight million, ninety-three thousand, four hundred thirty-five".

Divisors: 1 5 7 11 35 55 71 77 355 385 497 781 2485 3905 5467 15661 27335 78305 109627 172271 548135 861355 1111931 1205897 5559655 6029485 7783517 12231241 38917585 61156205 85618687 428093435