Search a number
-
+
4667325728 = 251329292
BaseRepresentation
bin1000101100011000…
…11011110100100000
3110001021101201020212
410112030123310200
534024313410403
62051044553252
7223442420432
oct42614336440
913037351225
104667325728
111a8564699a
12aa30b2828
13594c60800
14323c24652
151c4b414d8
hex11631bd20

4667325728 has 54 divisors (see below), whose sum is σ = 9960721659. Its totient is φ = 2151831552.

The previous prime is 4667325713. The next prime is 4667325731. The reversal of 4667325728 is 8275237664.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 288592144 + 4378733584 = 16988^2 + 66172^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=48308.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5023568 + ... + 5024496.

Almost surely, 24667325728 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 4667325728

4667325728 is an abundant number, since it is smaller than the sum of its proper divisors (5293395931).

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

4667325728 is an frugal number, since it uses more digits than its factorization.

4667325728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 944 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The square root of 4667325728 is about 68317.8287711195. The cubic root of 4667325728 is about 1671.1779763047.

Multiplying 4667325728 by its sum of digits (50), we get a square (233366286400 = 4830802).

The spelling of 4667325728 in words is "four billion, six hundred sixty-seven million, three hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 929 1352 1858 2704 3716 5408 7432 12077 14864 24154 29728 48308 96616 157001 193232 314002 386464 628004 863041 1256008 1726082 2512016 3452164 5024032 6904328 11219533 13808656 22439066 27617312 44878132 89756264 145853929 179512528 291707858 359025056 583415716 1166831432 2333662864 4667325728