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4234952704 = 214534877
BaseRepresentation
bin1111110001101100…
…0100000000000000
3101221010210212222011
43330123010000000
532133121441304
61540121422304
7206642334613
oct37433040000
911833725864
104234952704
11188357a714
129a233a994
135264c6098
142c263417a
1519bbd5c04
hexfc6c4000

4234952704 has 60 divisors (see below), whose sum is σ = 8631221004. Its totient is φ = 2077097984.

The previous prime is 4234952629. The next prime is 4234952713. The reversal of 4234952704 is 4072594324.

It can be written as a sum of positive squares in 2 ways, for example, as 2111586304 + 2123366400 = 45952^2 + 46080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 865914 + ... + 870790.

Almost surely, 24234952704 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 4234952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315610502).

4234952704 is an abundant number, since it is smaller than the sum of its proper divisors (4396268300).

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

4234952704 is an frugal number, since it uses more digits than its factorization.

4234952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 4234952704 is about 65076.5142274846. The cubic root of 4234952704 is about 1617.8919774295.

The spelling of 4234952704 in words is "four billion, two hundred thirty-four million, nine hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 3392 4096 4877 6784 8192 9754 13568 16384 19508 27136 39016 54272 78032 108544 156064 217088 258481 312128 434176 516962 624256 868352 1033924 1248512 2067848 2497024 4135696 4994048 8271392 9988096 16542784 19976192 33085568 39952384 66171136 79904768 132342272 264684544 529369088 1058738176 2117476352 4234952704