Search a number
-
+
4158390816 = 253214438857
BaseRepresentation
bin1111011111011100…
…0000001000100000
3101201210202010210200
43313313000020200
532004022001231
61524344425200
7205022511246
oct36767001040
911653663720
104158390816
111844337628
12980778200
1351369a8a8
142b63c4796
15195110be6
hexf7dc0220

4158390816 has 36 divisors (see below), whose sum is σ = 11825424702. Its totient is φ = 1386130176.

The previous prime is 4158390799. The next prime is 4158390839. The reversal of 4158390816 is 6180938514.

It can be written as a sum of positive squares in only one way, i.e., 2266140816 + 1892250000 = 47604^2 + 43500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7219141 + ... + 7219716.

Almost surely, 24158390816 is an apocalyptic number.

It is an amenable number.

4158390816 is an abundant number, since it is smaller than the sum of its proper divisors (7667033886).

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

4158390816 is a wasteful number, since it uses less digits than its factorization.

4158390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14438873 (or 14438862 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4158390816 is about 64485.5861103859. The cubic root of 4158390816 is about 1608.0829020895.

The spelling of 4158390816 in words is "four billion, one hundred fifty-eight million, three hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14438857 28877714 43316571 57755428 86633142 115510856 129949713 173266284 231021712 259899426 346532568 462043424 519798852 693065136 1039597704 1386130272 2079195408 4158390816