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491648352 = 25313537433
BaseRepresentation
bin11101010011011…
…111010101100000
31021021010022202020
4131103133111200
52001330221402
6120441421440
715116641056
oct3523372540
91237108666
10491648352
11232582758
1211879a880
137ab1c8b0
14494201d6
152d2688bc
hex1d4df560

491648352 has 96 divisors (see below), whose sum is σ = 1416266208. Its totient is φ = 148402176.

The previous prime is 491648327. The next prime is 491648359. The reversal of 491648352 is 253846194.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491648359) 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, 62428 + ... + 69860.

It is an arithmetic number, because the mean of its divisors is an integer number (14752773).

Almost surely, 2491648352 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 491648352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708133104).

491648352 is an abundant number, since it is smaller than the sum of its proper divisors (924617856).

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

491648352 is a wasteful number, since it uses less digits than its factorization.

491648352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7504 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 491648352 is about 22173.1448378438. The cubic root of 491648352 is about 789.2565520893.

The spelling of 491648352 in words is "four hundred ninety-one million, six hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1696 2067 2544 2756 4134 5088 5512 7433 8268 11024 14866 16536 22048 22299 29732 33072 44598 59464 66144 89196 96629 118928 178392 193258 237856 289887 356784 386516 393949 579774 713568 773032 787898 1159548 1181847 1546064 1575796 2319096 2363694 3092128 3151592 4638192 4727388 5121337 6303184 9276384 9454776 10242674 12606368 15364011 18909552 20485348 30728022 37819104 40970696 61456044 81941392 122912088 163882784 245824176 491648352