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42652080 = 2432559239
BaseRepresentation
bin1010001010110…
…1000110110000
32222020221122200
42202231012300
541404331310
64122103200
71025352042
oct242550660
988227580
1042652080
1122092159
121234ab00
138ab4a23
145943a92
153b279c0
hex28ad1b0

42652080 has 60 divisors (see below), whose sum is σ = 143242320. Its totient is φ = 11373696.

The previous prime is 42652079. The next prime is 42652081. The reversal of 42652080 is 8025624.

42652080 is a `hidden beast` number, since 4 + 2 + 652 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42652079) and next prime (42652081).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42652081) by changing a digit.

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, 28900 + ... + 30339.

It is an arithmetic number, because the mean of its divisors is an integer number (2387372).

Almost surely, 242652080 is an apocalyptic number.

42652080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42652080 is an abundant number, since it is smaller than the sum of its proper divisors (100590240).

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

42652080 is a wasteful number, since it uses less digits than its factorization.

42652080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59258 (or 59249 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42652080 is about 6530.8559929002. The cubic root of 42652080 is about 349.3923606462.

The spelling of 42652080 in words is "forty-two million, six hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 59239 118478 177717 236956 296195 355434 473912 533151 592390 710868 888585 947824 1066302 1184780 1421736 1777170 2132604 2369560 2665755 2843472 3554340 4265208 4739120 5331510 7108680 8530416 10663020 14217360 21326040 42652080