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42599984 = 247419277
BaseRepresentation
bin1010001010000…
…0011000110000
32222011022012012
42202200120300
541401144414
64121022052
71025044130
oct242403060
988138165
1042599984
1122056aa9
1212324928
138a970bb
14592cac0
153b1733e
hex28a0630

42599984 has 40 divisors (see below), whose sum is σ = 96639648. Its totient is φ = 17809920.

The previous prime is 42599981. The next prime is 42599989. The reversal of 42599984 is 48999524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42599981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 9230.

Almost surely, 242599984 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 42599984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48319824).

42599984 is an abundant number, since it is smaller than the sum of its proper divisors (54039664).

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

42599984 is a wasteful number, since it uses less digits than its factorization.

42599984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333 (or 9327 counting only the distinct ones).

The product of its digits is 933120, while the sum is 50.

The square root of 42599984 is about 6526.8663231293. The cubic root of 42599984 is about 349.2500513679.

The spelling of 42599984 in words is "forty-two million, five hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 9277 18554 37108 64939 74216 129878 148432 259756 380357 519512 760714 1039024 1521428 2662499 3042856 5324998 6085712 10649996 21299992 42599984