Search a number
-
+
1528106281 = 132312972
BaseRepresentation
bin101101100010101…
…0000110100101001
310221111101211201221
41123011100310221
511112143400111
6411344342041
752603455232
oct13305206451
93844354657
101528106281
11714637959
12367914921
131b4783300
14106d3c089
158e24c371
hex5b150d29

1528106281 has 27 divisors (see below), whose sum is σ = 1727602533. Its totient is φ = 1350984960.

The previous prime is 1528106273. The next prime is 1528106297. The reversal of 1528106281 is 1826018251.

The square root of 1528106281 is 39091.

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

It can be written as a sum of positive squares in 4 ways, for example, as 279190681 + 1248915600 = 16709^2 + 35340^2 .

It is not a de Polignac number, because 1528106281 - 23 = 1528106273 is a prime.

It is a super-2 number, since 2×15281062812 = 4670217612063301922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1528106201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15753625 + ... + 15753721.

It is an arithmetic number, because the mean of its divisors is an integer number (63985279).

Almost surely, 21528106281 is an apocalyptic number.

1528106281 is the 39091-st square number.

1528106281 is the 19546-th centered octagonal number.

It is an amenable number.

1528106281 is a deficient number, since it is larger than the sum of its proper divisors (199496252).

1528106281 is an frugal number, since it uses more digits than its factorization.

1528106281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The cubic root of 1528106281 is about 1151.8197480423.

The spelling of 1528106281 in words is "one billion, five hundred twenty-eight million, one hundred six thousand, two hundred eighty-one".

Divisors: 1 13 31 97 169 403 961 1261 3007 5239 9409 12493 16393 39091 93217 122317 162409 291679 508183 1211821 1590121 3791827 9042049 15753673 49293751 117546637 1528106281