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491397408 = 25334712101
BaseRepresentation
bin11101010010100…
…010000100100000
31021020122120112000
4131102202010200
52001244204113
6120432204000
715114544335
oct3522420440
91236576460
10491397408
11232421167
12118699600
137aa625c8
144939698c
152d219373
hex1d4a2120

491397408 has 96 divisors (see below), whose sum is σ = 1463857920. Its totient is φ = 160300800.

The previous prime is 491397367. The next prime is 491397409. The reversal of 491397408 is 804793194.

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 (491397409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34558 + ... + 46658.

It is an arithmetic number, because the mean of its divisors is an integer number (15248520).

Almost surely, 2491397408 is an apocalyptic number.

491397408 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 491397408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731928960).

491397408 is an abundant number, since it is smaller than the sum of its proper divisors (972460512).

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

491397408 is a wasteful number, since it uses less digits than its factorization.

491397408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12167 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 491397408 is about 22167.4853783644. The cubic root of 491397408 is about 789.1222468131.

The spelling of 491397408 in words is "four hundred ninety-one million, three hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 12101 13536 20304 24202 36303 40608 48404 72606 96808 108909 145212 193616 217818 290424 326727 387232 435636 568747 580848 653454 871272 1137494 1161696 1306908 1706241 1742544 2274988 2613816 3412482 3485088 4549976 5118723 5227632 6824964 9099952 10237446 10455264 13649928 15356169 18199904 20474892 27299856 30712338 40949784 54599712 61424676 81899568 122849352 163799136 245698704 491397408