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428281309 = 29101146221
BaseRepresentation
bin11001100001110…
…000110111011101
31002211212221111201
4121201300313131
51334120000214
6110255315501
713420221361
oct3141606735
91084787451
10428281309
111aa8320a5
12bb51bb91
136a9641c1
1440c472a1
15278ed274
hex19870ddd

428281309 has 8 divisors (see below), whose sum is σ = 447439320. Its totient is φ = 409416000.

The previous prime is 428281267. The next prime is 428281319. The reversal of 428281309 is 903182824.

It can be written as a sum of positive squares in 4 ways, for example, as 215208900 + 213072409 = 14670^2 + 14597^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428281309 - 213 = 428273117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428281319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70182 + ... + 76039.

It is an arithmetic number, because the mean of its divisors is an integer number (55929915).

Almost surely, 2428281309 is an apocalyptic number.

It is an amenable number.

428281309 is a deficient number, since it is larger than the sum of its proper divisors (19158011).

428281309 is a wasteful number, since it uses less digits than its factorization.

428281309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146351.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 428281309 is about 20694.9585406688. The cubic root of 428281309 is about 753.7772755747. Note that the first 3 decimals are identical.

The spelling of 428281309 in words is "four hundred twenty-eight million, two hundred eighty-one thousand, three hundred nine".

Divisors: 1 29 101 2929 146221 4240409 14768321 428281309