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427181501 = 4197233461
BaseRepresentation
bin11001011101100…
…100010110111101
31002202211001212002
4121131210112331
51333324302001
6110215552045
713404661055
oct3135442675
91082731762
10427181501
111aa15086a
12bb08b625
136a66a726
1440a3c565
152778246b
hex197645bd

427181501 has 16 divisors (see below), whose sum is σ = 444972528. Its totient is φ = 409804800.

The previous prime is 427181483. The next prime is 427181561. The reversal of 427181501 is 105181724.

It can be written as a sum of positive squares in 8 ways, for example, as 119880601 + 307300900 = 10949^2 + 17530^2 .

It is a cyclic number.

It is not a de Polignac number, because 427181501 - 222 = 422987197 is a prime.

It is a super-2 number, since 2×4271815012 = 364968069593226002, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427181561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926411 + ... + 926871.

It is an arithmetic number, because the mean of its divisors is an integer number (27810783).

Almost surely, 2427181501 is an apocalyptic number.

427181501 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

427181501 is a deficient number, since it is larger than the sum of its proper divisors (17791027).

427181501 is a wasteful number, since it uses less digits than its factorization.

427181501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 427181501 is about 20668.3695776904. The cubic root of 427181501 is about 753.1314999318.

The spelling of 427181501 in words is "four hundred twenty-seven million, one hundred eighty-one thousand, five hundred one".

Divisors: 1 41 97 233 461 3977 9553 18901 22601 44717 107413 926641 1833397 4403933 10419061 427181501