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42444675 = 3352713691
BaseRepresentation
bin1010000111101…
…0011110000011
32221212102011000
42201322132003
541331212200
64113423043
71023526260
oct241723603
987772130
1042444675
1121a60349
121226aa83
138a414c0
1458cc267
153ad6300
hex287a783

42444675 has 96 divisors (see below), whose sum is σ = 96104960. Its totient is φ = 17884800.

The previous prime is 42444643. The next prime is 42444691. The reversal of 42444675 is 57644424.

42444675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42444675 - 25 = 42444643 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 61080 + ... + 61770.

Almost surely, 242444675 is an apocalyptic number.

42444675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42444675 is an abundant number, since it is smaller than the sum of its proper divisors (53660285).

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

42444675 is a wasteful number, since it uses less digits than its factorization.

42444675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 42444675 is about 6514.9577895793. The cubic root of 42444675 is about 348.8251081151.

The spelling of 42444675 in words is "forty-two million, four hundred forty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 175 189 195 225 273 315 325 351 455 525 585 675 691 819 945 975 1365 1575 1755 2073 2275 2457 2925 3455 4095 4725 4837 6219 6825 8775 8983 10365 12285 14511 17275 18657 20475 24185 26949 31095 43533 44915 51825 61425 62881 72555 80847 93285 120925 130599 134745 155475 188643 217665 224575 242541 314405 362775 404235 466425 565929 652995 673725 943215 1088325 1212705 1572025 1697787 2021175 2829645 3264975 4716075 6063525 8488935 14148225 42444675