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491241072 = 24372331631
BaseRepresentation
bin11101010001111…
…011111001110000
31021020100122001210
4131101323321300
52001224203242
6120425000120
715113323500
oct3521737160
91236318053
10491241072
11232324763
12118623040
137aa093ba
1449355a00
152d1d7d9c
hex1d47be70

491241072 has 120 divisors (see below), whose sum is σ = 1483036032. Its totient is φ = 139708800.

The previous prime is 491241071. The next prime is 491241083. The reversal of 491241072 is 270142194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491241071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778197 + ... + 778827.

Almost surely, 2491241072 is an apocalyptic number.

491241072 is a gapful number since it is divisible by the number (42) 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 491241072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741518016).

491241072 is an abundant number, since it is smaller than the sum of its proper divisors (991794960).

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

491241072 is a wasteful number, since it uses less digits than its factorization.

491241072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 491241072 is about 22163.9588521545. The cubic root of 491241072 is about 789.0385526388.

The spelling of 491241072 in words is "four hundred ninety-one million, two hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 331 336 392 588 631 662 784 993 1176 1262 1324 1893 1986 2317 2352 2524 2648 3786 3972 4417 4634 5048 5296 6951 7572 7944 8834 9268 10096 13251 13902 15144 15888 16219 17668 18536 26502 27804 30288 30919 32438 35336 37072 48657 53004 55608 61838 64876 70672 92757 97314 106008 111216 123676 129752 185514 194628 208861 212016 247352 259504 371028 389256 417722 494704 626583 742056 778512 835444 1253166 1462027 1484112 1670888 2506332 2924054 3341776 4386081 5012664 5848108 8772162 10025328 10234189 11696216 17544324 20468378 23392432 30702567 35088648 40936756 61405134 70177296 81873512 122810268 163747024 245620536 491241072