Search a number
-
+
675544144 = 241131312263
BaseRepresentation
bin101000010000111…
…111110001010000
31202002011012100111
4220100333301100
52340414403034
6151011131104
722512013312
oct5020776120
91662135314
10675544144
11317366350
1216a2a3a94
13a9c58a82
1465a0d7b2
153e491364
hex2843fc50

675544144 has 40 divisors (see below), whose sum is σ = 1432533312. Its totient is φ = 306059520.

The previous prime is 675544127. The next prime is 675544151. The reversal of 675544144 is 441445576.

It is a junction number, because it is equal to n+sod(n) for n = 675544097 and 675544106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48957 + ... + 61219.

Almost surely, 2675544144 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 675544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716266656).

675544144 is an abundant number, since it is smaller than the sum of its proper divisors (756989168).

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

675544144 is a wasteful number, since it uses less digits than its factorization.

675544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12595 (or 12589 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The square root of 675544144 is about 25991.2320600621. The cubic root of 675544144 is about 877.4409747014.

The spelling of 675544144 in words is "six hundred seventy-five million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 313 626 1252 2504 3443 5008 6886 12263 13772 24526 27544 49052 55088 98104 134893 196208 269786 539572 1079144 2158288 3838319 7676638 15353276 30706552 42221509 61413104 84443018 168886036 337772072 675544144