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42771248 = 2413613371
BaseRepresentation
bin1010001100101…
…0001100110000
32222111000010022
42203022030300
541422134443
64124423012
71026356342
oct243121460
988430108
1042771248
1122163743
12123a7a68
138b27040
145975292
153b4ce68
hex28ca330

42771248 has 40 divisors (see below), whose sum is σ = 90733776. Its totient is φ = 19411200.

The previous prime is 42771247. The next prime is 42771319. The reversal of 42771248 is 84217724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42771247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11003 + ... + 14373.

Almost surely, 242771248 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 42771248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45366888).

42771248 is an abundant number, since it is smaller than the sum of its proper divisors (47962528).

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

42771248 is a wasteful number, since it uses less digits than its factorization.

42771248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3447 counting only the distinct ones).

The product of its digits is 25088, while the sum is 35.

The square root of 42771248 is about 6539.9730886296. The cubic root of 42771248 is about 349.7174536013.

The spelling of 42771248 in words is "forty-two million, seven hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 3371 6344 6742 12688 13484 26968 43823 53936 87646 175292 205631 350584 411262 701168 822524 1645048 2673203 3290096 5346406 10692812 21385624 42771248