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4328587264 = 2162572
BaseRepresentation
bin1000000100000000…
…10000000000000000
3102011200000000102211
410002000100000000
532331104243024
61553304351504
7212160245641
oct40200200000
912150000384
104328587264
111921413751
12a09775594
1353ca1b451
142d0c496c8
151a502e594
hex102010000

4328587264 has 51 divisors (see below), whose sum is σ = 8690924797. Its totient is φ = 2155872256.

The previous prime is 4328587261. The next prime is 4328587273. The reversal of 4328587264 is 4627858234.

The square root of 4328587264 is 65792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4261478400 + 67108864 = 65280^2 + 8192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4328587261) 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 2 ways as a sum of consecutive naturals, for example, 16842624 + ... + 16842880.

Almost surely, 24328587264 is an apocalyptic number.

4328587264 is the 65792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4328587264

4328587264 is an abundant number, since it is smaller than the sum of its proper divisors (4362337533).

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

4328587264 is an frugal number, since it uses more digits than its factorization.

4328587264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 259 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The cubic root of 4328587264 is about 1629.7289955564.

Multiplying 4328587264 by its sum of digits (49), we get a square (212100775936 = 4605442).

The spelling of 4328587264 in words is "four billion, three hundred twenty-eight million, five hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4096 4112 8192 8224 16384 16448 32768 32896 65536 65792 66049 131584 132098 263168 264196 526336 528392 1052672 1056784 2105344 2113568 4210688 4227136 8421376 8454272 16842752 16908544 33817088 67634176 135268352 270536704 541073408 1082146816 2164293632 4328587264