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42195240 = 23325117209
BaseRepresentation
bin1010000011110…
…1100100101000
32221101201222200
42200331210220
541300221430
64104220200
71021440123
oct240754450
987351880
1042195240
11218aa9aa
121216a660
138984ac9
1458653ba
153a87460
hex283d928

42195240 has 48 divisors (see below), whose sum is σ = 137135700. Its totient is φ = 11251968.

The previous prime is 42195227. The next prime is 42195253. The reversal of 42195240 is 4259124.

It is an interprime number because it is at equal distance from previous prime (42195227) and next prime (42195253).

It can be written as a sum of positive squares in 2 ways, for example, as 38713284 + 3481956 = 6222^2 + 1866^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58245 + ... + 58964.

Almost surely, 242195240 is an apocalyptic number.

42195240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42195240 is an abundant number, since it is smaller than the sum of its proper divisors (94940460).

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

42195240 is a wasteful number, since it uses less digits than its factorization.

42195240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117226 (or 117219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42195240 is about 6495.7863265351. The cubic root of 42195240 is about 348.1404506399.

The spelling of 42195240 in words is "forty-two million, one hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 117209 234418 351627 468836 586045 703254 937672 1054881 1172090 1406508 1758135 2109762 2344180 2813016 3516270 4219524 4688360 5274405 7032540 8439048 10548810 14065080 21097620 42195240