Search a number
-
+
187361344 = 26292592
BaseRepresentation
bin10110010101011…
…10100001000000
3111001112221110001
423022232201000
5340431030334
630331445344
74433354662
oct1312564100
9431487401
10187361344
1196840395
12528b6854
132ca80701
141ac52532
15116ae714
hexb2ae840

187361344 has 63 divisors (see below), whose sum is σ = 391694797. Its totient is φ = 88917248.

The previous prime is 187361341. The next prime is 187361351. The reversal of 187361344 is 443163781.

The square root of 187361344 is 13688.

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

It can be written as a sum of positive squares in only one way, i.e., 98247744 + 89113600 = 9912^2 + 9440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187361341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3175587 + ... + 3175645.

Almost surely, 2187361344 is an apocalyptic number.

187361344 is the 13688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187361344

187361344 is an abundant number, since it is smaller than the sum of its proper divisors (204333453).

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

187361344 is an frugal number, since it uses more digits than its factorization.

187361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 90 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The cubic root of 187361344 is about 572.2160007088.

The spelling of 187361344 in words is "one hundred eighty-seven million, three hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 232 236 464 472 841 928 944 1682 1711 1856 1888 3364 3422 3481 3776 6728 6844 6962 13456 13688 13924 26912 27376 27848 49619 53824 54752 55696 99238 100949 109504 111392 198476 201898 222784 396952 403796 793904 807592 1587808 1615184 2927521 3175616 3230368 5855042 6460736 11710084 23420168 46840336 93680672 187361344