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42548272 = 2413337607
BaseRepresentation
bin1010001001001…
…1110000110000
32222001200020221
42202103300300
541343021042
64115542424
71024440304
oct242236060
988050227
1042548272
1122021168
12122baa14
138a796c0
145917d04
153b06d67
hex2893c30

42548272 has 40 divisors (see below), whose sum is σ = 89188736. Its totient is φ = 19547136.

The previous prime is 42548251. The next prime is 42548279. The reversal of 42548272 is 27284524.

It is a super-3 number, since 3×425482723 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42548279) 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, 69793 + ... + 70399.

Almost surely, 242548272 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 42548272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44594368).

42548272 is an abundant number, since it is smaller than the sum of its proper divisors (46640464).

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

42548272 is a wasteful number, since it uses less digits than its factorization.

42548272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 959 counting only the distinct ones).

The product of its digits is 35840, while the sum is 34.

The square root of 42548272 is about 6522.9036479163. The cubic root of 42548272 is about 349.1086762645.

The spelling of 42548272 in words is "forty-two million, five hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 337 607 674 1214 1348 2428 2696 4381 4856 5392 7891 8762 9712 15782 17524 31564 35048 63128 70096 126256 204559 409118 818236 1636472 2659267 3272944 5318534 10637068 21274136 42548272