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42424480 = 255737879
BaseRepresentation
bin1010000111010…
…1100010100000
32221211101110001
42201311202200
541330040410
64113145344
71023413350
oct241654240
987741401
1042424480
1121a4715a
121225b254
138a35257
1458c4b60
153ad033a
hex28758a0

42424480 has 48 divisors (see below), whose sum is σ = 114549120. Its totient is φ = 14545152.

The previous prime is 42424471. The next prime is 42424483. The reversal of 42424480 is 8442424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42424483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17820 + ... + 20059.

It is an arithmetic number, because the mean of its divisors is an integer number (2386440).

Almost surely, 242424480 is an apocalyptic number.

42424480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42424480 is an abundant number, since it is smaller than the sum of its proper divisors (72124640).

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

42424480 is a wasteful number, since it uses less digits than its factorization.

42424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37901 (or 37893 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 42424480 is about 6513.4077102543. The cubic root of 42424480 is about 348.7697761596.

The spelling of 42424480 in words is "forty-two million, four hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 37879 75758 151516 189395 265153 303032 378790 530306 606064 757580 1060612 1212128 1325765 1515160 2121224 2651530 3030320 4242448 5303060 6060640 8484896 10606120 21212240 42424480