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42540528 = 24317371409
BaseRepresentation
bin1010001001000…
…1110111110000
32222001021122010
42202101313300
541342244103
64115442520
71024405602
oct242216760
988037563
1042540528
1122016368
12122b6440
138a76014
145915172
153b04903
hex2891df0

42540528 has 80 divisors (see below), whose sum is σ = 119590560. Its totient is φ = 12976128.

The previous prime is 42540523. The next prime is 42540529. The reversal of 42540528 is 82504524.

It is a junction number, because it is equal to n+sod(n) for n = 42540495 and 42540504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29488 + ... + 30896.

It is an arithmetic number, because the mean of its divisors is an integer number (1494882).

Almost surely, 242540528 is an apocalyptic number.

42540528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42540528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59795280).

42540528 is an abundant number, since it is smaller than the sum of its proper divisors (77050032).

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

42540528 is a wasteful number, since it uses less digits than its factorization.

42540528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 42540528 is about 6522.3100202306. The cubic root of 42540528 is about 349.0874951331.

The spelling of 42540528 in words is "forty-two million, five hundred forty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 816 888 1258 1409 1776 1887 2516 2818 3774 4227 5032 5636 7548 8454 10064 11272 15096 16908 22544 23953 30192 33816 47906 52133 67632 71859 95812 104266 143718 156399 191624 208532 287436 312798 383248 417064 574872 625596 834128 886261 1149744 1251192 1772522 2502384 2658783 3545044 5317566 7090088 10635132 14180176 21270264 42540528