Search a number
-
+
4212736 = 21111217
BaseRepresentation
bin10000000100100000000000
321221000210021
4100010200000
52034301421
6230143224
750544013
oct20044000
97830707
104212736
112418100
1214b1b14
13b46658
147b937a
15583341
hex404800

4212736 has 72 divisors (see below), whose sum is σ = 9803430. Its totient is φ = 1802240.

The previous prime is 4212731. The next prime is 4212739. The reversal of 4212736 is 6372124.

4212736 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3097600 + 1115136 = 1760^2 + 1056^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4212736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247800 + ... + 247816.

Almost surely, 24212736 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 4212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901715).

4212736 is an abundant number, since it is smaller than the sum of its proper divisors (5590694).

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

4212736 is a wasteful number, since it uses less digits than its factorization.

4212736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 4212736 is about 2052.4950669855. The cubic root of 4212736 is about 161.5057843781.

The spelling of 4212736 in words is "four million, two hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 128 136 176 187 242 256 272 352 374 484 512 544 704 748 968 1024 1088 1408 1496 1936 2048 2057 2176 2816 2992 3872 4114 4352 5632 5984 7744 8228 8704 11264 11968 15488 16456 17408 22528 23936 30976 32912 34816 47872 61952 65824 95744 123904 131648 191488 247808 263296 382976 526592 1053184 2106368 4212736