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491128704 = 27331112919
BaseRepresentation
bin11101010001100…
…000011110000000
31021020010220221000
4131101200132000
52001212104304
6120422332000
715112345053
oct3521403600
91236126830
10491128704
112322582a0
1211858a000
137a99a201
1449326a9a
152d1b4939
hex1d460780

491128704 has 128 divisors (see below), whose sum is σ = 1581408000. Its totient is φ = 148815360.

The previous prime is 491128669. The next prime is 491128711. The reversal of 491128704 is 407821194.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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, 31557 + ... + 44475.

It is an arithmetic number, because the mean of its divisors is an integer number (12354750).

Almost surely, 2491128704 is an apocalyptic number.

491128704 is a gapful number since it is divisible by the number (44) 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 491128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790704000).

491128704 is an abundant number, since it is smaller than the sum of its proper divisors (1090279296).

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

491128704 is a wasteful number, since it uses less digits than its factorization.

491128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12953 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 491128704 is about 22161.4237809758. The cubic root of 491128704 is about 788.9783856792.

Adding to 491128704 its reverse (407821194), we get a palindrome (898949898).

It can be divided in two parts, 49 and 1128704, that added together give a triangular number (1128753 = T1502).

The spelling of 491128704 in words is "four hundred ninety-one million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 12919 19008 25838 38016 38757 51676 77514 103352 116271 142109 155028 206704 232542 284218 310056 348813 413408 426327 465084 568436 620112 697626 826816 852654 930168 1136872 1240224 1278981 1395252 1653632 1705308 1860336 2273744 2480448 2557962 2790504 3410616 3720672 3836943 4547488 4960896 5115924 5581008 6821232 7441344 7673886 9094976 10231848 11162016 13642464 14882688 15347772 18189952 20463696 22324032 27284928 30695544 40927392 44648064 54569856 61391088 81854784 122782176 163709568 245564352 491128704