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42476320 = 255535009
BaseRepresentation
bin1010001000001…
…0001100100000
32221221000120001
42202002030200
541333220240
64114225344
71024020445
oct242021440
987830501
1042476320
1121a820a7
1212285254
138a52a23
1458d99cc
153ae089a
hex2882320

42476320 has 48 divisors (see below), whose sum is σ = 102264120. Its totient is φ = 16666624.

The previous prime is 42476309. The next prime is 42476321. The reversal of 42476320 is 2367424.

It can be written as a sum of positive squares in 4 ways, for example, as 37112464 + 5363856 = 6092^2 + 2316^2 .

It is not an unprimeable number, because it can be changed into a prime (42476321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5976 + ... + 10984.

Almost surely, 242476320 is an apocalyptic number.

42476320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51132060).

42476320 is an abundant number, since it is smaller than the sum of its proper divisors (59787800).

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

42476320 is a wasteful number, since it uses less digits than its factorization.

42476320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 42476320 is about 6517.3859790563. The cubic root of 42476320 is about 348.9117764536.

The spelling of 42476320 in words is "forty-two million, four hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 5009 8480 10018 20036 25045 40072 50090 80144 100180 160288 200360 265477 400720 530954 801440 1061908 1327385 2123816 2654770 4247632 5309540 8495264 10619080 21238160 42476320