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491946520 = 235133972383
BaseRepresentation
bin11101010100101…
…000001000011000
31021021200110202111
4131110220020120
52001414242040
6120452042104
715122322262
oct3524501030
91237613674
10491946520
1123276677a
12118903334
137abc5520
144949ab32
152d2c6dea
hex1d528218

491946520 has 64 divisors (see below), whose sum is σ = 1195528320. Its totient is φ = 181108224.

The previous prime is 491946491. The next prime is 491946523. The reversal of 491946520 is 25649194.

It is a super-2 number, since 2×4919465202 = 484022757080220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491946523) 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 15 ways as a sum of consecutive naturals, for example, 205249 + ... + 207631.

It is an arithmetic number, because the mean of its divisors is an integer number (18680130).

Almost surely, 2491946520 is an apocalyptic number.

491946520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491946520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597764160).

491946520 is an abundant number, since it is smaller than the sum of its proper divisors (703581800).

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

491946520 is a wasteful number, since it uses less digits than its factorization.

491946520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 491946520 is about 22179.8674477554. The cubic root of 491946520 is about 789.4160722621.

The spelling of 491946520 in words is "four hundred ninety-one million, nine hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 397 520 794 1588 1985 2383 3176 3970 4766 5161 7940 9532 10322 11915 15880 19064 20644 23830 25805 30979 41288 47660 51610 61958 95320 103220 123916 154895 206440 247832 309790 619580 946051 1239160 1892102 3784204 4730255 7568408 9460510 12298663 18921020 24597326 37842040 49194652 61493315 98389304 122986630 245973260 491946520