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491125248 = 293335527
BaseRepresentation
bin11101010001011…
…111101000000000
31021020010202012000
4131101133220000
52001212001443
6120422304000
715112332015
oct3521375000
91236122160
10491125248
11232255739
12118588000
137a998773
144932570c
152d1b38d3
hex1d45fa00

491125248 has 80 divisors (see below), whose sum is σ = 1453805760. Its totient is φ = 163703808.

The previous prime is 491125241. The next prime is 491125249. The reversal of 491125248 is 842521194.

491125248 is a `hidden beast` number, since 491 + 125 + 2 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (491125241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3940 + ... + 31587.

It is an arithmetic number, because the mean of its divisors is an integer number (18172572).

Almost surely, 2491125248 is an apocalyptic number.

491125248 is a gapful number since it is divisible by the number (48) 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 491125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726902880).

491125248 is an abundant number, since it is smaller than the sum of its proper divisors (962680512).

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

491125248 is an equidigital number, since it uses as much as digits as its factorization.

491125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35554 (or 35532 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 491125248 is about 22161.3458075091. The cubic root of 491125248 is about 788.9765350335.

The spelling of 491125248 in words is "four hundred ninety-one million, one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 35527 71054 106581 142108 213162 284216 319743 426324 568432 639486 852648 959229 1136864 1278972 1705296 1918458 2273728 2557944 3410592 3836916 4547456 5115888 6821184 7673832 9094912 10231776 13642368 15347664 18189824 20463552 27284736 30695328 40927104 54569472 61390656 81854208 122781312 163708416 245562624 491125248