Search a number
-
+
1531608484 = 227228127809
BaseRepresentation
bin101101101001010…
…0111110110100100
310221201222202212011
41123102213312210
511114042432414
6411551404004
752645312600
oct13322476644
93851882764
101531608484
1171660a13a
12368b23604
131b540b413
141075b0500
158e6dedc4
hex5b4a7da4

1531608484 has 36 divisors (see below), whose sum is σ = 3129125580. Its totient is φ = 654044160.

The previous prime is 1531608457. The next prime is 1531608509. The reversal of 1531608484 is 4848061351.

It can be written as a sum of positive squares in 2 ways, for example, as 1059502500 + 472105984 = 32550^2 + 21728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41172 + ... + 68980.

It is an arithmetic number, because the mean of its divisors is an integer number (86920155).

Almost surely, 21531608484 is an apocalyptic number.

1531608484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531608484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564562790).

1531608484 is an abundant number, since it is smaller than the sum of its proper divisors (1597517096).

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

1531608484 is a wasteful number, since it uses less digits than its factorization.

1531608484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28108 (or 28099 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 1531608484 is about 39135.7698787184. The cubic root of 1531608484 is about 1152.6990125348.

The spelling of 1531608484 in words is "one billion, five hundred thirty-one million, six hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 281 562 1124 1967 3934 7868 13769 27538 27809 55076 55618 111236 194663 389326 778652 1362641 2725282 5450564 7814329 15628658 31257316 54700303 109400606 218801212 382902121 765804242 1531608484