Search a number
-
+
671838948 = 223411217137
BaseRepresentation
bin101000000010110…
…111001011100100
31201211011221210000
4220002313023210
52333442321243
6150355501300
722435352064
oct5002671344
91654157700
10671838948
11315265600
12168bb7830
13a925c451
14653273a4
153dead5d3
hex280b72e4

671838948 has 90 divisors (see below), whose sum is σ = 1930612838. Its totient is φ = 203575680.

The previous prime is 671838931. The next prime is 671839033. The reversal of 671838948 is 849838176.

It can be written as a sum of positive squares in only one way, i.e., 361304064 + 310534884 = 19008^2 + 17622^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 671838894 and 671838903.

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 29 ways as a sum of consecutive naturals, for example, 30636 + ... + 47772.

Almost surely, 2671838948 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 671838948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965306419).

671838948 is an abundant number, since it is smaller than the sum of its proper divisors (1258773890).

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

671838948 is a wasteful number, since it uses less digits than its factorization.

671838948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17175 (or 17153 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 671838948 is about 25919.8562496014. The cubic root of 671838948 is about 875.8338491412.

The spelling of 671838948 in words is "six hundred seventy-one million, eight hundred thirty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 17137 19602 34274 39204 51411 68548 102822 154233 188507 205644 308466 377014 462699 565521 616932 754028 925398 1131042 1388097 1696563 1850796 2073577 2262084 2776194 3393126 4147154 5089689 5552388 6220731 6786252 8294308 10179378 12441462 15269067 18662193 20358756 24882924 30538134 37324386 55986579 61076268 74648772 111973158 167959737 223946316 335919474 671838948