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42444080 = 245775793
BaseRepresentation
bin1010000111101…
…0010100110000
32221212101022222
42201322110300
541331202310
64113420212
71023524450
oct241722460
987771288
1042444080
1121a5a958
121226a668
138a41153
1458cbd60
153ad6055
hex287a530

42444080 has 40 divisors (see below), whose sum is σ = 112781472. Its totient is φ = 14552064.

The previous prime is 42444079. The next prime is 42444097. The reversal of 42444080 is 8044424.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37337 + ... + 38456.

Almost surely, 242444080 is an apocalyptic number.

42444080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42444080 is an abundant number, since it is smaller than the sum of its proper divisors (70337392).

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

42444080 is a wasteful number, since it uses less digits than its factorization.

42444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75813 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 42444080 is about 6514.9121252708. The cubic root of 42444080 is about 348.8234781351.

The spelling of 42444080 in words is "forty-two million, four hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 75793 151586 303172 378965 530551 606344 757930 1061102 1212688 1515860 2122204 2652755 3031720 4244408 5305510 6063440 8488816 10611020 21222040 42444080