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4129424 = 241319853
BaseRepresentation
bin1111110000001010010000
321202210111122
433300022100
52024120144
6224301412
750046065
oct17601220
97683448
104129424
112370552
121471868
13b17760
14796c6c
155687ee
hex3f0290

4129424 has 20 divisors (see below), whose sum is σ = 8616636. Its totient is φ = 1905792.

The previous prime is 4129423. The next prime is 4129429. The reversal of 4129424 is 4249214.

It can be written as a sum of positive squares in 2 ways, for example, as 640000 + 3489424 = 800^2 + 1868^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4129393 and 4129402.

It is not an unprimeable number, because it can be changed into a prime (4129423) 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, 9719 + ... + 10134.

Almost surely, 24129424 is an apocalyptic number.

It is an amenable number.

4129424 is an abundant number, since it is smaller than the sum of its proper divisors (4487212).

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

4129424 is a wasteful number, since it uses less digits than its factorization.

4129424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19874 (or 19868 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 4129424 is about 2032.0984228132. The cubic root of 4129424 is about 160.4340298816.

The spelling of 4129424 in words is "four million, one hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 19853 39706 79412 158824 258089 317648 516178 1032356 2064712 4129424