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428168532 = 2231118117921
BaseRepresentation
bin11001100001010…
…101010101010100
31002211200012210210
4121201111111110
51334102343112
6110253045420
713416241521
oct3141252524
91084605723
10428168532
111aa7653a0
12bb486870
136a924a7c
1440c18148
15278c9b3c
hex19855554

428168532 has 48 divisors (see below), whose sum is σ = 1095966144. Its totient is φ = 129024000.

The previous prime is 428168519. The next prime is 428168539. The reversal of 428168532 is 235861824.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428168539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14932 + ... + 32852.

It is an arithmetic number, because the mean of its divisors is an integer number (22832628).

Almost surely, 2428168532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428168532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547983072).

428168532 is an abundant number, since it is smaller than the sum of its proper divisors (667797612).

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

428168532 is a wasteful number, since it uses less digits than its factorization.

428168532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18120 (or 18118 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 428168532 is about 20692.2336155380. The cubic root of 428168532 is about 753.7111070691.

The spelling of 428168532 in words is "four hundred twenty-eight million, one hundred sixty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2172 3982 5973 7964 11946 17921 23892 35842 53763 71684 107526 197131 215052 394262 591393 788524 1182786 2365572 3243701 6487402 9731103 12974804 19462206 35680711 38924412 71361422 107042133 142722844 214084266 428168532