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491246316 = 2233113891063
BaseRepresentation
bin11101010001111…
…101001011101100
31021020100220021000
4131101331023230
52001224340231
6120425040300
715113345001
oct3521751354
91236326230
10491246316
112323286a0
12118626090
137aa0b8c2
14493578a8
152d1d96e6
hex1d47d2ec

491246316 has 96 divisors (see below), whose sum is σ = 1394265600. Its totient is φ = 148340160.

The previous prime is 491246293. The next prime is 491246317. The reversal of 491246316 is 613642194.

491246316 is a `hidden beast` number, since 4 + 9 + 12 + 4 + 631 + 6 = 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 not an unprimeable number, because it can be changed into a prime (491246317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461601 + ... + 462663.

It is an arithmetic number, because the mean of its divisors is an integer number (14523600).

Almost surely, 2491246316 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 491246316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

491246316 is an abundant number, since it is smaller than the sum of its proper divisors (903019284).

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

491246316 is a wasteful number, since it uses less digits than its factorization.

491246316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

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

The square root of 491246316 is about 22164.0771520043. The cubic root of 491246316 is about 789.0413602919.

The spelling of 491246316 in words is "four hundred ninety-one million, two hundred forty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 389 396 594 778 1063 1167 1188 1556 2126 2334 3189 3501 4252 4279 4668 6378 7002 8558 9567 10503 11693 12756 12837 14004 17116 19134 21006 23386 25674 28701 35079 38268 38511 42012 46772 51348 57402 70158 77022 105237 114804 115533 140316 154044 210474 231066 315711 413507 420948 462132 631422 827014 1240521 1262844 1654028 2481042 3721563 4548577 4962084 7443126 9097154 11164689 13645731 14886252 18194308 22329378 27291462 40937193 44658756 54582924 81874386 122811579 163748772 245623158 491246316