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4213632 = 27310973
BaseRepresentation
bin10000000100101110000000
321221002000110
4100010232000
52034314012
6230151320
750546433
oct20045600
97832013
104213632
112418845
1214b2540
13b46b97
147b981a
1558373c
hex404b80

4213632 has 32 divisors (see below), whose sum is σ = 11193480. Its totient is φ = 1404416.

The previous prime is 4213609. The next prime is 4213639. The reversal of 4213632 is 2363124.

It is a happy number.

4213632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4213599 and 4213608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213639) 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, 5103 + ... + 5870.

Almost surely, 24213632 is an apocalyptic number.

It is an amenable number.

4213632 is an abundant number, since it is smaller than the sum of its proper divisors (6979848).

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

4213632 is a wasteful number, since it uses less digits than its factorization.

4213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10978 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 4213632 is about 2052.7133263074. The cubic root of 4213632 is about 161.5172337011.

Adding to 4213632 its reverse (2363124), we get a palindrome (6576756).

The spelling of 4213632 in words is "four million, two hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10973 21946 32919 43892 65838 87784 131676 175568 263352 351136 526704 702272 1053408 1404544 2106816 4213632