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42417520 = 2452323053
BaseRepresentation
bin1010000111001…
…1110101110000
32221211000220021
42201303311300
541324330040
64113053224
71023354145
oct241636560
987730807
1042417520
1121a41a02
1212257214
138a32032
1458c23cc
153acd24a
hex2873d70

42417520 has 40 divisors (see below), whose sum is σ = 102913056. Its totient is φ = 16228608.

The previous prime is 42417491. The next prime is 42417523. The reversal of 42417520 is 2571424.

42417520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42417523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9687 + ... + 13366.

Almost surely, 242417520 is an apocalyptic number.

42417520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42417520 is an abundant number, since it is smaller than the sum of its proper divisors (60495536).

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

42417520 is a wasteful number, since it uses less digits than its factorization.

42417520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23089 (or 23083 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 42417520 is about 6512.8734058018. The cubic root of 42417520 is about 348.7507024990.

Adding to 42417520 its reverse (2571424), we get a palindrome (44988944).

The spelling of 42417520 in words is "forty-two million, four hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 23053 46106 92212 115265 184424 230530 368848 461060 530219 922120 1060438 1844240 2120876 2651095 4241752 5302190 8483504 10604380 21208760 42417520