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491545728 = 2732439923
BaseRepresentation
bin11101010011000…
…110010010000000
31021020221002222100
4131103012102000
52001313430403
6120435310400
715116032632
oct3523062200
91236832870
10491545728
11232512643
1211874b400
137aab4c7b
14493d4a52
152d2482a3
hex1d4c6480

491545728 has 96 divisors (see below), whose sum is σ = 1447514640. Its totient is φ = 160022016.

The previous prime is 491545727. The next prime is 491545739. The reversal of 491545728 is 827545194.

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

It is not an unprimeable number, because it can be changed into a prime (491545727) 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 11 ways as a sum of consecutive naturals, for example, 44575 + ... + 54497.

Almost surely, 2491545728 is an apocalyptic number.

491545728 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 491545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723757320).

491545728 is an abundant number, since it is smaller than the sum of its proper divisors (955968912).

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

491545728 is a wasteful number, since it uses less digits than its factorization.

491545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9971 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 491545728 is about 22170.8305663094. The cubic root of 491545728 is about 789.2016332296.

The spelling of 491545728 in words is "four hundred ninety-one million, five hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 9923 12384 16512 19846 24768 29769 39692 49536 59538 79384 89307 119076 158768 178614 238152 317536 357228 426689 476304 635072 714456 853378 952608 1270144 1280067 1428912 1706756 1905216 2560134 2857824 3413512 3810432 3840201 5120268 5715648 6827024 7680402 10240536 11431296 13654048 15360804 20481072 27308096 30721608 40962144 54616192 61443216 81924288 122886432 163848576 245772864 491545728