Search a number
-
+
16091648 = 2953593
BaseRepresentation
bin111101011000…
…101000000000
31010021112120222
4331120220000
513104413043
61332522212
7253530266
oct75305000
933245528
1016091648
1190a0991
125480368
1334454b1
1421cc436
15162cd68
hexf58a00

16091648 has 40 divisors (see below), whose sum is σ = 32813748. Its totient is φ = 7880704.

The previous prime is 16091641. The next prime is 16091659. The reversal of 16091648 is 84619061.

It can be written as a sum of positive squares in 2 ways, for example, as 15618304 + 473344 = 3952^2 + 688^2 .

It is a super-2 number, since 2×160916482 = 517882270711808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16091641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26840 + ... + 27432.

Almost surely, 216091648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406874).

16091648 is an abundant number, since it is smaller than the sum of its proper divisors (16722100).

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

16091648 is an frugal number, since it uses more digits than its factorization.

16091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 16091648 is about 4011.4396418244. The cubic root of 16091648 is about 252.4644161207.

The spelling of 16091648 in words is "sixteen million, ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 593 848 1186 1696 2372 3392 4744 6784 9488 13568 18976 27136 31429 37952 62858 75904 125716 151808 251432 303616 502864 1005728 2011456 4022912 8045824 16091648