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42546520 = 2354125943
BaseRepresentation
bin1010001001001…
…1010101011000
32222001120212001
42202103111120
541342442040
64115530344
71024432222
oct242232530
988046761
1042546520
112201a915
12122b99b4
138a78973
145917412
153b0659a
hex2893558

42546520 has 32 divisors (see below), whose sum is σ = 98068320. Its totient is φ = 16602880.

The previous prime is 42546487. The next prime is 42546523. The reversal of 42546520 is 2564524.

It is a super-2 number, since 2×425465202 = 3620412728220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42546523) 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 7 ways as a sum of consecutive naturals, for example, 11332 + ... + 14611.

It is an arithmetic number, because the mean of its divisors is an integer number (3064635).

Almost surely, 242546520 is an apocalyptic number.

42546520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42546520 is an abundant number, since it is smaller than the sum of its proper divisors (55521800).

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

42546520 is a wasteful number, since it uses less digits than its factorization.

42546520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25995 (or 25991 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 42546520 is about 6522.7693505136. The cubic root of 42546520 is about 349.1038844773.

The spelling of 42546520 in words is "forty-two million, five hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 25943 51886 103772 129715 207544 259430 518860 1037720 1063663 2127326 4254652 5318315 8509304 10636630 21273260 42546520