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42428304 = 2432294641
BaseRepresentation
bin1010000111011…
…0011110010000
32221211120200200
42201312132100
541330201204
64113215200
71023430452
oct241663620
987746620
1042428304
1121a4a016
1212261500
138a36c09
1458c62d2
153ad1539
hex2876790

42428304 has 30 divisors (see below), whose sum is σ = 118740726. Its totient is φ = 14142720.

The previous prime is 42428303. The next prime is 42428333. The reversal of 42428304 is 40382424.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 12616704 = 5460^2 + 3552^2 .

It is a super-3 number, since 3×424283043 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42428303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147177 + ... + 147464.

Almost surely, 242428304 is an apocalyptic number.

It is an amenable number.

42428304 is an abundant number, since it is smaller than the sum of its proper divisors (76312422).

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

42428304 is a wasteful number, since it uses less digits than its factorization.

42428304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294655 (or 294646 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42428304 is about 6513.7012519765. The cubic root of 42428304 is about 348.7802548231.

The spelling of 42428304 in words is "forty-two million, four hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 294641 589282 883923 1178564 1767846 2357128 2651769 3535692 4714256 5303538 7071384 10607076 14142768 21214152 42428304