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4190431 = 7319643
BaseRepresentation
bin1111111111000011011111
321212220012011
433333003133
52033043211
6225452051
750422000
oct17770337
97786164
104190431
112402373
1214a1027
13b3945b
147b11a7
1557b921
hex3ff0df

4190431 has 16 divisors (see below), whose sum is σ = 5152000. Its totient is φ = 3397464.

The previous prime is 4190429. The next prime is 4190447. The reversal of 4190431 is 1340914.

It is not a de Polignac number, because 4190431 - 21 = 4190429 is a prime.

It is a super-2 number, since 2×41904312 = 35119423931522, which contains 22 as substring.

4190431 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190411) 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, 6196 + ... + 6838.

It is an arithmetic number, because the mean of its divisors is an integer number (322000).

Almost surely, 24190431 is an apocalyptic number.

4190431 is a deficient number, since it is larger than the sum of its proper divisors (961569).

4190431 is an equidigital number, since it uses as much as digits as its factorization.

4190431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4190431 is about 2047.0542249779. The cubic root of 4190431 is about 161.2202404869.

The spelling of 4190431 in words is "four million, one hundred ninety thousand, four hundred thirty-one".

Divisors: 1 7 19 49 133 343 643 931 4501 6517 12217 31507 85519 220549 598633 4190431