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42177521 = 37230809
BaseRepresentation
bin1010000011100…
…1001111110001
32221100211200102
42200321033301
541244140041
64104002145
71021334351
oct240711761
987324612
1042177521
1121898661
1212160355
138979a19
14585cb61
153a8209b
hex28393f1

42177521 has 6 divisors (see below), whose sum is σ = 43349670. Its totient is φ = 41036256.

The previous prime is 42177497. The next prime is 42177523. The reversal of 42177521 is 12577124.

42177521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31360000 + 10817521 = 5600^2 + 3289^2 .

It is a de Polignac number, because none of the positive numbers 2k-42177521 is a prime.

It is a pancake number, because a pancake can be divided into 42177521 parts by 9184 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42177523) 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 5 ways as a sum of consecutive naturals, for example, 14036 + ... + 16773.

It is an arithmetic number, because the mean of its divisors is an integer number (7224945).

Almost surely, 242177521 is an apocalyptic number.

It is an amenable number.

42177521 is a deficient number, since it is larger than the sum of its proper divisors (1172149).

42177521 is an equidigital number, since it uses as much as digits as its factorization.

42177521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30883 (or 30846 counting only the distinct ones).

The product of its digits is 3920, while the sum is 29.

The square root of 42177521 is about 6494.4222991733. The cubic root of 42177521 is about 348.0917124069.

The spelling of 42177521 in words is "forty-two million, one hundred seventy-seven thousand, five hundred twenty-one".

Divisors: 1 37 1369 30809 1139933 42177521