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42740864 = 27714703
BaseRepresentation
bin1010001100001…
…0110010000000
32222102110102222
42203002302000
541420201424
64124030212
71026201635
oct243026200
988373388
1042740864
1122142931
1212392368
138b1626a
14596818c
153b43e5e
hex28c2c80

42740864 has 32 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 21064960.

The previous prime is 42740851. The next prime is 42740879. The reversal of 42740864 is 46804724.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6737 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 242740864 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 42740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

42740864 is an abundant number, since it is smaller than the sum of its proper divisors (43624576).

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

42740864 is an equidigital number, since it uses as much as digits as its factorization.

42740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 42740864 is about 6537.6497305989. The cubic root of 42740864 is about 349.6346227843.

The spelling of 42740864 in words is "forty-two million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 4703 9088 9406 18812 37624 75248 150496 300992 333913 601984 667826 1335652 2671304 5342608 10685216 21370432 42740864