Search a number
-
+
5254765128 = 233285432
BaseRepresentation
bin1001110010011010…
…10101101001001000
3111120012202201121200
410321031111221020
541230204441003
62225231504200
7244134523644
oct47115255110
914505681550
105254765128
1122571a58a8
121027988060
1365987c1a2
1437bc5bc24
1520b4cc6a3
hex139355a48

5254765128 has 36 divisors (see below), whose sum is σ = 14233321635. Its totient is φ = 1751383344.

The previous prime is 5254765073. The next prime is 5254765129. The reversal of 5254765128 is 8215674525.

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.

5254765128 is a `hidden beast` number, since 52 + 5 + 476 + 5 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2627382564 + 2627382564 = 51258^2 + 51258^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=51258.

It is a super-2 number, since 2×52547651282 = 55225113100889712768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5254765129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 610825 + ... + 619367.

Almost surely, 25254765128 is an apocalyptic number.

It is an amenable number.

5254765128 is an abundant number, since it is smaller than the sum of its proper divisors (8978556507).

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

5254765128 is an frugal number, since it uses more digits than its factorization.

5254765128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17098 (or 8548 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 5254765128 is about 72489.7587801201. The cubic root of 5254765128 is about 1738.5389955577.

The spelling of 5254765128 in words is "five billion, two hundred fifty-four million, seven hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8543 17086 25629 34172 51258 68344 76887 102516 153774 205032 307548 615096 72982849 145965698 218948547 291931396 437897094 583862792 656845641 875794188 1313691282 1751588376 2627382564 5254765128