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4131984 = 24386083
BaseRepresentation
bin1111110000110010010000
321202221000110
433300302100
52024210414
6224321320
750056413
oct17606220
97687013
104131984
11237246a
121473240
13b1897c
14797b7a
15569459
hex3f0c90

4131984 has 20 divisors (see below), whose sum is σ = 10674416. Its totient is φ = 1377312.

The previous prime is 4131983. The next prime is 4132001. The reversal of 4131984 is 4891314.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4131983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42994 + ... + 43089.

Almost surely, 24131984 is an apocalyptic number.

It is an amenable number.

4131984 is an abundant number, since it is smaller than the sum of its proper divisors (6542432).

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

4131984 is a wasteful number, since it uses less digits than its factorization.

4131984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86094 (or 86088 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 4131984 is about 2032.7282159699. The cubic root of 4131984 is about 160.4671762537.

It can be divided in two parts, 4131 and 984, that added together give a palindrome (5115).

The spelling of 4131984 in words is "four million, one hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 86083 172166 258249 344332 516498 688664 1032996 1377328 2065992 4131984