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42540630 = 23511177583
BaseRepresentation
bin1010001001000…
…1111001010110
32222001021202220
42202101321112
541342300010
64115443210
71024406106
oct242217126
988037686
1042540630
1122016450
12122b6506
138a76092
145915206
153b04970
hex2891e56

42540630 has 64 divisors (see below), whose sum is σ = 117946368. Its totient is φ = 9704960.

The previous prime is 42540581. The next prime is 42540637. The reversal of 42540630 is 3604524.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42540630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819 + ... + 9401.

It is an arithmetic number, because the mean of its divisors is an integer number (1842912).

Almost surely, 242540630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42540630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58973184).

42540630 is an abundant number, since it is smaller than the sum of its proper divisors (75405738).

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

42540630 is a wasteful number, since it uses less digits than its factorization.

42540630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621.

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

The square root of 42540630 is about 6522.3178395414. The cubic root of 42540630 is about 349.0877741368.

The spelling of 42540630 in words is "forty-two million, five hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 7583 15166 22749 37915 45498 75830 83413 113745 128911 166826 227490 250239 257822 386733 417065 500478 644555 773466 834130 1251195 1289110 1418021 1933665 2502390 2836042 3867330 4254063 7090105 8508126 14180210 21270315 42540630