Search a number
-
+
5488146738 = 2364218941
BaseRepresentation
bin1010001110001111…
…00111100100110010
3112011110220202000000
411013013213210302
542214431143423
62304330010430
7253000322544
oct50707474462
915143822000
105488146738
112366a08968
121091b76a16
13696023709
143a0c4d694
15221c2c843
hex1471e7932

5488146738 has 56 divisors (see below), whose sum is σ = 12373385196. Its totient is φ = 1824832800.

The previous prime is 5488146709. The next prime is 5488146743. The reversal of 5488146738 is 8376418845.

5488146738 is a `hidden beast` number, since 548 + 8 + 1 + 4 + 67 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5076990009 + 411156729 = 71253^2 + 20277^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 27 ways as a sum of consecutive naturals, for example, 609348 + ... + 618288.

Almost surely, 25488146738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5488146738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186692598).

5488146738 is an abundant number, since it is smaller than the sum of its proper divisors (6885238458).

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

5488146738 is an equidigital number, since it uses as much as digits as its factorization.

5488146738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9367 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 5488146738 is about 74082.0270915962. The cubic root of 5488146738 is about 1763.9051906562.

The spelling of 5488146738 in words is "five billion, four hundred eighty-eight million, one hundred forty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 421 486 729 842 1263 1458 2526 3789 7578 8941 11367 17882 22734 26823 34101 53646 68202 80469 102303 160938 204606 241407 306909 482814 613818 724221 1448442 2172663 3764161 4345326 6517989 7528322 11292483 13035978 22584966 33877449 67754898 101632347 203264694 304897041 609794082 914691123 1829382246 2744073369 5488146738