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42715648 = 29194391
BaseRepresentation
bin1010001011110…
…0101000000000
32222101011212001
42202330220000
541413400043
64123313344
71026035263
oct242745000
988334761
1042715648
1122125998
121237b854
138b07941
14595ccda
153b3b74d
hex28bca00

42715648 has 40 divisors (see below), whose sum is σ = 89860320. Its totient is φ = 20229120.

The previous prime is 42715633. The next prime is 42715661. The reversal of 42715648 is 84651724.

It is a super-3 number, since 3×427156483 (a number of 24 digits) contains 333 as substring.

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, 7533 + ... + 11923.

It is an arithmetic number, because the mean of its divisors is an integer number (2246508).

Almost surely, 242715648 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 42715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44930160).

42715648 is an abundant number, since it is smaller than the sum of its proper divisors (47144672).

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

42715648 is an equidigital number, since it uses as much as digits as its factorization.

42715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4412 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 42715648 is about 6535.7209242745. The cubic root of 42715648 is about 349.5658508083.

The spelling of 42715648 in words is "forty-two million, seven hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4391 4864 8782 9728 17564 35128 70256 83429 140512 166858 281024 333716 562048 667432 1124096 1334864 2248192 2669728 5339456 10678912 21357824 42715648