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428145642 = 2337928623
BaseRepresentation
bin11001100001001…
…111101111101010
31002211122001102000
4121201033233222
51334101130032
6110252351430
713416115011
oct3141175752
91084561360
10428145642
111aa74a181
12bb475576
136a917522
1440c0da78
15278c2e7c
hex1984fbea

428145642 has 16 divisors (see below), whose sum is σ = 951434880. Its totient is φ = 142715196.

The previous prime is 428145593. The next prime is 428145643. The reversal of 428145642 is 246541824.

428145642 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 4 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 428145597 and 428145606.

It is not an unprimeable number, because it can be changed into a prime (428145643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3964258 + ... + 3964365.

It is an arithmetic number, because the mean of its divisors is an integer number (59464680).

Almost surely, 2428145642 is an apocalyptic number.

428145642 is an abundant number, since it is smaller than the sum of its proper divisors (523289238).

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

428145642 is a wasteful number, since it uses less digits than its factorization.

428145642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928634 (or 7928628 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 428145642 is about 20691.6805020762. The cubic root of 428145642 is about 753.6976756332.

It can be divided in two parts, 428 and 145642, that added together give a triangular number (146070 = T540).

The spelling of 428145642 in words is "four hundred twenty-eight million, one hundred forty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 7928623 15857246 23785869 47571738 71357607 142715214 214072821 428145642