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42274064 = 24737703
BaseRepresentation
bin1010000101000…
…0110100010000
32221112202010002
42201100310100
541310232224
64110025132
71022216000
oct241206420
987482102
1042274064
1121954148
12121a81a8
1389b1951
145886000
153aa09ae
hex2850d10

42274064 has 40 divisors (see below), whose sum is σ = 95529600. Its totient is φ = 18115104.

The previous prime is 42274027. The next prime is 42274079. The reversal of 42274064 is 46047224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1637 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (2388240).

Almost surely, 242274064 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 42274064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764800).

42274064 is an abundant number, since it is smaller than the sum of its proper divisors (53255536).

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

42274064 is an equidigital number, since it uses as much as digits as its factorization.

42274064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 42274064 is about 6501.8508134223. The cubic root of 42274064 is about 348.3571002965.

It can be divided in two parts, 4 and 2274064, that multiplied together give a square (9096256 = 30162).

The spelling of 42274064 in words is "forty-two million, two hundred seventy-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 7703 15406 30812 53921 61624 107842 123248 215684 377447 431368 754894 862736 1509788 2642129 3019576 5284258 6039152 10568516 21137032 42274064