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4212484096 = 211531972
BaseRepresentation
bin1111101100010101…
…0110100000000000
3101212120112100211111
43323011112200000
532111343442341
61534000053104
7206250344512
oct37305264000
911776470744
104212484096
111871923717
12996904194
1352195a152
142bd665bb2
15199c48681
hexfb156800

4212484096 has 72 divisors (see below), whose sum is σ = 8625617910. Its totient is φ = 2056011776.

The previous prime is 4212484093. The next prime is 4212484097. The reversal of 4212484096 is 6904842124.

It can be written as a sum of positive squares in 3 ways, for example, as 3677209600 + 535274496 = 60640^2 + 23136^2 .

It is not an unprimeable number, because it can be changed into a prime (4212484093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21383070 + ... + 21383266.

Almost surely, 24212484096 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 4212484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312808955).

4212484096 is an abundant number, since it is smaller than the sum of its proper divisors (4413133814).

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

4212484096 is an frugal number, since it uses more digits than its factorization.

4212484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 4212484096 is about 64903.6524087820. The cubic root of 4212484096 is about 1615.0256519040.

The spelling of 4212484096 in words is "four billion, two hundred twelve million, four hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 197 212 256 394 424 512 788 848 1024 1576 1696 2048 3152 3392 6304 6784 10441 12608 13568 20882 25216 27136 38809 41764 50432 54272 77618 83528 100864 108544 155236 167056 201728 310472 334112 403456 620944 668224 1241888 1336448 2056877 2483776 2672896 4113754 4967552 5345792 8227508 9935104 10691584 16455016 19870208 21383168 32910032 39740416 65820064 79480832 131640128 263280256 526560512 1053121024 2106242048 4212484096