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4212032 = 261131193
BaseRepresentation
bin10000000100010101000000
321220222211012
4100010111000
52034241112
6230140052
750541656
oct20042500
97828735
104212032
112417620
1214b1628
13b46236
147b8dd6
15583022
hex404540

4212032 has 56 divisors (see below), whose sum is σ = 9460992. Its totient is φ = 1843200.

The previous prime is 4212029. The next prime is 4212071. The reversal of 4212032 is 2302124.

It is a junction number, because it is equal to n+sod(n) for n = 4211998 and 4212016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21728 + ... + 21920.

Almost surely, 24212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730496).

4212032 is an abundant number, since it is smaller than the sum of its proper divisors (5248960).

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

4212032 is a wasteful number, since it uses less digits than its factorization.

4212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4212032 is about 2052.3235612349. The cubic root of 4212032 is about 161.4967873426.

Adding to 4212032 its reverse (2302124), we get a palindrome (6514156).

The spelling of 4212032 in words is "four million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 193 248 341 352 386 496 682 704 772 992 1364 1544 1984 2123 2728 3088 4246 5456 5983 6176 8492 10912 11966 12352 16984 21824 23932 33968 47864 65813 67936 95728 131626 135872 191456 263252 382912 526504 1053008 2106016 4212032