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42331616 = 2531139307
BaseRepresentation
bin1010000101111…
…0110111100000
32221122200001122
42201132313200
541314102431
64111151412
71022545535
oct241366740
987580048
1042331616
1121993408
1212215568
138a01bc2
14589cd8c
153ab2a7b
hex285ede0

42331616 has 48 divisors (see below), whose sum is σ = 86929920. Its totient is φ = 20269440.

The previous prime is 42331613. The next prime is 42331633. The reversal of 42331616 is 61613324.

42331616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 137735 + ... + 138041.

It is an arithmetic number, because the mean of its divisors is an integer number (1811040).

Almost surely, 242331616 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 42331616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464960).

42331616 is an abundant number, since it is smaller than the sum of its proper divisors (44598304).

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

42331616 is a wasteful number, since it uses less digits than its factorization.

42331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 42331616 is about 6506.2751248314. The cubic root of 42331616 is about 348.5151133091.

The spelling of 42331616 in words is "forty-two million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 139 248 278 307 496 556 614 992 1112 1228 2224 2456 4309 4448 4912 8618 9517 9824 17236 19034 34472 38068 42673 68944 76136 85346 137888 152272 170692 304544 341384 682768 1322863 1365536 2645726 5291452 10582904 21165808 42331616