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42540036 = 22372116577
BaseRepresentation
bin1010001001000…
…1110000000100
32222001020221220
42202101300010
541342240121
64115440340
71024404300
oct242216004
988036856
1042540036
1122015a60
12122b60b0
138a75a26
145914d00
153b046c6
hex2891c04

42540036 has 72 divisors (see below), whose sum is σ = 125981856. Its totient is φ = 11047680.

The previous prime is 42540019. The next prime is 42540037. The reversal of 42540036 is 63004524.

It is a junction number, because it is equal to n+sod(n) for n = 42539988 and 42540015.

It is not an unprimeable number, because it can be changed into a prime (42540037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180 + ... + 9756.

It is an arithmetic number, because the mean of its divisors is an integer number (1749748).

Almost surely, 242540036 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 42540036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62990928).

42540036 is an abundant number, since it is smaller than the sum of its proper divisors (83441820).

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

42540036 is a wasteful number, since it uses less digits than its factorization.

42540036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42540036 is about 6522.2723034231. The cubic root of 42540036 is about 349.0861493442.

The spelling of 42540036 in words is "forty-two million, five hundred forty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 6577 13154 19731 26308 39462 46039 72347 78924 92078 138117 144694 184156 217041 276234 289388 322273 434082 506429 552468 644546 868164 966819 1012858 1289092 1519287 1933638 2025716 3038574 3545003 3867276 6077148 7090006 10635009 14180012 21270018 42540036