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428250942 = 23377914341
BaseRepresentation
bin11001100001101…
…001011100111110
31002211211101212000
4121201221130332
51334113012232
6110254523130
713420034010
oct3141513476
91084741760
10428250942
111aa8112a9
12bb5064a6
136a953432
1440c3a1b0
15278e427c
hex1986973e

428250942 has 64 divisors (see below), whose sum is σ = 1101465600. Its totient is φ = 120800160.

The previous prime is 428250931. The next prime is 428250967. The reversal of 428250942 is 249052824.

It is a junction number, because it is equal to n+sod(n) for n = 428250897 and 428250906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22692 + ... + 37032.

It is an arithmetic number, because the mean of its divisors is an integer number (17210400).

Almost surely, 2428250942 is an apocalyptic number.

428250942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 428250942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550732800).

428250942 is an abundant number, since it is smaller than the sum of its proper divisors (673214658).

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

428250942 is a wasteful number, since it uses less digits than its factorization.

428250942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14438 (or 14432 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428250942 is about 20694.2248465605. The cubic root of 428250942 is about 753.7594597956.

The spelling of 428250942 in words is "four hundred twenty-eight million, two hundred fifty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 2133 3318 4266 4977 9954 14341 14931 28682 29862 43023 86046 100387 129069 200774 258138 301161 387207 602322 774414 903483 1132939 1806966 2265878 2710449 3398817 5420898 6797634 7930573 10196451 15861146 20392902 23791719 30589353 47583438 61178706 71375157 142750314 214125471 428250942