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42540480 = 2632514771
BaseRepresentation
bin1010001001000…
…1110111000000
32222001021120100
42202101313000
541342243410
64115442400
71024405503
oct242216700
988037510
1042540480
1122016324
12122b6400
138a75ca8
14591513a
153b048c0
hex2891dc0

42540480 has 84 divisors (see below), whose sum is σ = 146331432. Its totient is φ = 11343360.

The previous prime is 42540461. The next prime is 42540497. The reversal of 42540480 is 8404524.

42540480 is a `hidden beast` number, since 42 + 540 + 4 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4506 + ... + 10265.

Almost surely, 242540480 is an apocalyptic number.

42540480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42540480 is an abundant number, since it is smaller than the sum of its proper divisors (103790952).

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

42540480 is a wasteful number, since it uses less digits than its factorization.

42540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14794 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42540480 is about 6522.3063405516. The cubic root of 42540480 is about 349.0873638371.

The spelling of 42540480 in words is "forty-two million, five hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14771 29542 44313 59084 73855 88626 118168 132939 147710 177252 221565 236336 265878 295420 354504 443130 472672 531756 590840 664695 709008 886260 945344 1063512 1181680 1329390 1418016 1772520 2127024 2363360 2658780 2836032 3545040 4254048 4726720 5317560 7090080 8508096 10635120 14180160 21270240 42540480