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491163264 = 273515791
BaseRepresentation
bin11101010001101…
…000111010000000
31021020012200100000
4131101220322000
52001214211024
6120423200000
715112550604
oct3521507200
91236180300
10491163264
11232281259
121185a6000
137a9acb67
1449335504
152d1becc9
hex1d468e80

491163264 has 96 divisors (see below), whose sum is σ = 1465813440. Its totient is φ = 163710720.

The previous prime is 491163241. The next prime is 491163289. The reversal of 491163264 is 462361194.

491163264 is a `hidden beast` number, since 4 + 9 + 11 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23209 + ... + 38999.

It is an arithmetic number, because the mean of its divisors is an integer number (15268890).

Almost surely, 2491163264 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 491163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732906720).

491163264 is an abundant number, since it is smaller than the sum of its proper divisors (974650176).

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

491163264 is an equidigital number, since it uses as much as digits as its factorization.

491163264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820 (or 15796 counting only the distinct ones).

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

The square root of 491163264 is about 22162.2035005547. The cubic root of 491163264 is about 788.9968916589.

The spelling of 491163264 in words is "four hundred ninety-one million, one hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 15791 31104 31582 47373 63164 94746 126328 142119 189492 252656 284238 378984 426357 505312 568476 757968 852714 1010624 1136952 1279071 1515936 1705428 2021248 2273904 2558142 3031872 3410856 3837213 4547808 5116284 6063744 6821712 7674426 9095616 10232568 13643424 15348852 18191232 20465136 27286848 30697704 40930272 54573696 61395408 81860544 122790816 163721088 245581632 491163264