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4140642 = 2311431459
BaseRepresentation
bin1111110010111001100010
321210100220010
433302321202
52030000032
6224425350
750123562
oct17627142
97710803
104140642
112378a20
121478256
13b1c8ac
1479ada2
1556bccc
hex3f2e62

4140642 has 32 divisors (see below), whose sum is σ = 9250560. Its totient is φ = 1224720.

The previous prime is 4140641. The next prime is 4140683. The reversal of 4140642 is 2460414.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4140641) 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 15 ways as a sum of consecutive naturals, for example, 2109 + ... + 3567.

It is an arithmetic number, because the mean of its divisors is an integer number (289080).

Almost surely, 24140642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625280).

4140642 is an abundant number, since it is smaller than the sum of its proper divisors (5109918).

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

4140642 is a wasteful number, since it uses less digits than its factorization.

4140642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4140642 is about 2034.8567517150. The cubic root of 4140642 is about 160.5791769746.

The spelling of 4140642 in words is "four million, one hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 1459 2838 2918 4377 8754 16049 32098 48147 62737 96294 125474 188211 376422 690107 1380214 2070321 4140642