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42441308 = 2271328969
BaseRepresentation
bin1010000111100…
…1101001011100
32221212020112022
42201321221130
541331110213
64113355312
71023513410
oct241715134
987766468
1042441308
1121a58868
1212268b38
138a3cb00
1458cad40
153ad5308
hex2879a5c

42441308 has 36 divisors (see below), whose sum is σ = 91924560. Its totient is φ = 16788096.

The previous prime is 42441277. The next prime is 42441313. The reversal of 42441308 is 80314424.

42441308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 11 ways as a sum of consecutive naturals, for example, 248 + ... + 9216.

It is an arithmetic number, because the mean of its divisors is an integer number (2553460).

Almost surely, 242441308 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 42441308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45962280).

42441308 is an abundant number, since it is smaller than the sum of its proper divisors (49483252).

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

42441308 is a wasteful number, since it uses less digits than its factorization.

42441308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 42441308 is about 6514.6993790965. The cubic root of 42441308 is about 348.8158841453.

The spelling of 42441308 in words is "forty-two million, four hundred forty-one thousand, three hundred eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 4732 8969 17938 35876 62783 116597 125566 233194 251132 466388 816179 1515761 1632358 3031522 3264716 6063044 10610327 21220654 42441308