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428379282 = 232193673413
BaseRepresentation
bin11001100010001…
…000110010010010
31002212001220220100
4121202020302102
51334131114112
6110301353230
713421110122
oct3142106222
91085056810
10428379282
111aa899771
12bb568816
136a999986
1440c70c82
152791c2dc
hex19888c92

428379282 has 48 divisors (see below), whose sum is σ = 979954560. Its totient is φ = 134869536.

The previous prime is 428379269. The next prime is 428379283. The reversal of 428379282 is 282973824.

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

It is not an unprimeable number, because it can be changed into a prime (428379283) 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 23 ways as a sum of consecutive naturals, for example, 123808 + ... + 127220.

It is an arithmetic number, because the mean of its divisors is an integer number (20415720).

Almost surely, 2428379282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428379282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489977280).

428379282 is an abundant number, since it is smaller than the sum of its proper divisors (551575278).

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

428379282 is a wasteful number, since it uses less digits than its factorization.

428379282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3804 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 428379282 is about 20697.3254793947. The cubic root of 428379282 is about 753.8347488514.

The spelling of 428379282 in words is "four hundred twenty-eight million, three hundred seventy-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 367 734 1101 2202 3303 3413 6606 6826 6973 10239 13946 20478 20919 30717 41838 61434 62757 64847 125514 129694 194541 389082 583623 1167246 1252571 2505142 3757713 7515426 11273139 22546278 23798849 47597698 71396547 142793094 214189641 428379282