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42465536 = 28315351
BaseRepresentation
bin1010000111111…
…1100100000000
32221220110202122
42201333210000
541332344121
64114103412
71023644141
oct241774400
987813678
1042465536
1121a74a93
121227ab68
138a4ab49
1458d5ac8
153adc5ab
hex287f900

42465536 has 36 divisors (see below), whose sum is σ = 87515904. Its totient is φ = 20544000.

The previous prime is 42465523. The next prime is 42465559. The reversal of 42465536 is 63556424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42465496 and 42465505.

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 3 ways as a sum of consecutive naturals, for example, 5261 + ... + 10611.

Almost surely, 242465536 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 42465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43757952).

42465536 is an abundant number, since it is smaller than the sum of its proper divisors (45050368).

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

42465536 is an equidigital number, since it uses as much as digits as its factorization.

42465536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5384 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

The square root of 42465536 is about 6516.5586009795. The cubic root of 42465536 is about 348.8822464075.

The spelling of 42465536 in words is "forty-two million, four hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 5351 7936 10702 21404 42808 85616 165881 171232 331762 342464 663524 684928 1327048 1369856 2654096 5308192 10616384 21232768 42465536