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42116680 = 2352345779
BaseRepresentation
bin1010000010101…
…0011001001000
32221020202020001
42200222121020
541240213210
64102412344
71020662104
oct240523110
987222201
1042116680
1121856981
12121310b4
138958118
145844904
153a6e03a
hex282a648

42116680 has 32 divisors (see below), whose sum is σ = 98884800. Its totient is φ = 16113856.

The previous prime is 42116647. The next prime is 42116681. The reversal of 42116680 is 8661124.

It is not an unprimeable number, because it can be changed into a prime (42116681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21970 + ... + 23809.

It is an arithmetic number, because the mean of its divisors is an integer number (3090150).

Almost surely, 242116680 is an apocalyptic number.

42116680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42116680 is an abundant number, since it is smaller than the sum of its proper divisors (56768120).

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

42116680 is a wasteful number, since it uses less digits than its factorization.

42116680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45813 (or 45809 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 42116680 is about 6489.7365123709. The cubic root of 42116680 is about 347.9242579688.

The spelling of 42116680 in words is "forty-two million, one hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 45779 91558 183116 228895 366232 457790 915580 1052917 1831160 2105834 4211668 5264585 8423336 10529170 21058340 42116680