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42647488 = 261323943
BaseRepresentation
bin1010001010101…
…1111111000000
32222020201100121
42202223333000
541404204423
64122030024
71025332462
oct242537700
988221317
1042647488
1122089764
1212348314
138ab2900
145942132
153b2645d
hex28abfc0

42647488 has 42 divisors (see below), whose sum is σ = 91662504. Its totient is φ = 19678464.

The previous prime is 42647477. The next prime is 42647557. The reversal of 42647488 is 88474624.

42647488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8845 + ... + 12787.

Almost surely, 242647488 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 42647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45831252).

42647488 is an abundant number, since it is smaller than the sum of its proper divisors (49015016).

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

42647488 is a wasteful number, since it uses less digits than its factorization.

42647488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3958 counting only the distinct ones).

The product of its digits is 344064, while the sum is 43.

The square root of 42647488 is about 6530.5044215589. The cubic root of 42647488 is about 349.3798214586.

The spelling of 42647488 in words is "forty-two million, six hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 3943 5408 7886 10816 15772 31544 51259 63088 102518 126176 205036 252352 410072 666367 820144 1332734 1640288 2665468 3280576 5330936 10661872 21323744 42647488