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491145400 = 235231372141
BaseRepresentation
bin11101010001100…
…100100010111000
31021020011202211101
4131101210202320
52001213123100
6120422541144
715112444534
oct3521444270
91236152741
10491145400
11232269899
121185977b4
137a9a49a5
144932cbc4
152d1b986a
hex1d4648b8

491145400 has 96 divisors (see below), whose sum is σ = 1211172480. Its totient is φ = 184896000.

The previous prime is 491145379. The next prime is 491145401. The reversal of 491145400 is 4541194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491145401) 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 23 ways as a sum of consecutive naturals, for example, 228330 + ... + 230470.

It is an arithmetic number, because the mean of its divisors is an integer number (12616380).

Almost surely, 2491145400 is an apocalyptic number.

491145400 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 491145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605586240).

491145400 is an abundant number, since it is smaller than the sum of its proper divisors (720027080).

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

491145400 is a wasteful number, since it uses less digits than its factorization.

491145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 491145400 is about 22161.8004683735. The cubic root of 491145400 is about 788.9873260606.

Adding to 491145400 its reverse (4541194), we get a palindrome (495686594).

The spelling of 491145400 in words is "four hundred ninety-one million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 37 40 50 62 74 100 124 148 155 185 200 248 296 310 370 620 740 775 925 1147 1240 1480 1550 1850 2141 2294 3100 3700 4282 4588 5735 6200 7400 8564 9176 10705 11470 17128 21410 22940 28675 42820 45880 53525 57350 66371 79217 85640 107050 114700 132742 158434 214100 229400 265484 316868 331855 396085 428200 530968 633736 663710 792170 1327420 1584340 1659275 1980425 2455727 2654840 3168680 3318550 3960850 4911454 6637100 7921700 9822908 12278635 13274200 15843400 19645816 24557270 49114540 61393175 98229080 122786350 245572700 491145400