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491226960 = 24357241771
BaseRepresentation
bin11101010001111…
…000011101010000
31021020022220201010
4131101320131100
52001223230320
6120424410520
715113234400
oct3521703520
91236286633
10491226960
112323150a4
12118616a40
137aa02b53
1449350800
152d1d3ae0
hex1d478750

491226960 has 120 divisors (see below), whose sum is σ = 1771466976. Its totient is φ = 112277760.

The previous prime is 491226947. The next prime is 491226997. The reversal of 491226960 is 69622194.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9126 + ... + 32645.

Almost surely, 2491226960 is an apocalyptic number.

491226960 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 491226960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885733488).

491226960 is an abundant number, since it is smaller than the sum of its proper divisors (1280240016).

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

491226960 is a wasteful number, since it uses less digits than its factorization.

491226960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41801 (or 41788 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 491226960 is about 22163.6404951894. The cubic root of 491226960 is about 789.0309969333.

The spelling of 491226960 in words is "four hundred ninety-one million, two hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 41771 83542 125313 167084 208855 250626 292397 334168 417710 501252 584794 626565 668336 835420 877191 1002504 1169588 1253130 1461985 1670840 1754382 2005008 2046779 2339176 2506260 2923970 3341680 3508764 4093558 4385955 4678352 5012520 5847940 6140337 7017528 8187116 8771910 10025040 10233895 11695880 12280674 14035056 16374232 17543820 20467790 23391760 24561348 30701685 32748464 35087640 40935580 49122696 61403370 70175280 81871160 98245392 122806740 163742320 245613480 491226960