Search a number
-
+
491461632 = 2103253327
BaseRepresentation
bin11101010010110…
…001110000000000
31021020202211121200
4131102301300000
52001303233012
6120433421200
715115232514
oct3522616000
91236684550
10491461632
11232465442
1211870a800
137aa858cc
14493b2144
152d22d3dc
hex1d4b1c00

491461632 has 66 divisors (see below), whose sum is σ = 1419111408. Its totient is φ = 163817472.

The previous prime is 491461627. The next prime is 491461651. The reversal of 491461632 is 236164194.

491461632 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 616 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 17448 + ... + 35879.

It is an arithmetic number, because the mean of its divisors is an integer number (21501688).

Almost surely, 2491461632 is an apocalyptic number.

It is an amenable number.

491461632 is an abundant number, since it is smaller than the sum of its proper divisors (927649776).

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

491461632 is a wasteful number, since it uses less digits than its factorization.

491461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53353 (or 53332 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 491461632 is about 22168.9339391862. The cubic root of 491461632 is about 789.1566238629.

It can be divided in two parts, 49 and 1461632, that added together give a square (1461681 = 12092).

The spelling of 491461632 in words is "four hundred ninety-one million, four hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 53327 106654 159981 213308 319962 426616 479943 639924 853232 959886 1279848 1706464 1919772 2559696 3412928 3839544 5119392 6825856 7679088 10238784 13651712 15358176 20477568 27303424 30716352 40955136 54606848 61432704 81910272 122865408 163820544 245730816 491461632