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428238882 = 23229228289
BaseRepresentation
bin11001100001100…
…110100000100010
31002211210210022100
4121201212200202
51334112121012
6110254351230
713416653601
oct3141464042
91084723270
10428238882
111aa803235
12bb4bb516
136a94aab6
1440c35a38
15278e08dc
hex19866822

428238882 has 36 divisors (see below), whose sum is σ = 960983010. Its totient is φ = 137819136.

The previous prime is 428238871. The next prime is 428238883. The reversal of 428238882 is 288832824.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 424401201 + 3837681 = 20601^2 + 1959^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (428238883) 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 17 ways as a sum of consecutive naturals, for example, 994 + ... + 29282.

Almost surely, 2428238882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428238882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480491505).

428238882 is an abundant number, since it is smaller than the sum of its proper divisors (532744128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428238882 is a wasteful number, since it uses less digits than its factorization.

428238882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28355 (or 28323 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 428238882 is about 20693.9334588666. The cubic root of 428238882 is about 753.7523841744.

The spelling of 428238882 in words is "four hundred twenty-eight million, two hundred thirty-eight thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 5046 7569 15138 28289 56578 84867 169734 254601 509202 820381 1640762 2461143 4922286 7383429 14766858 23791049 47582098 71373147 142746294 214119441 428238882