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494482240 = 2657317121
BaseRepresentation
bin11101011110010…
…011001101000000
31021110110022010001
4131132103031000
52003041412430
6121022245344
715153013120
oct3536231500
91243408101
10494482240
1123413890a
12119726854
137b5a2755
144995ac80
152d6283ca
hex1d793340

494482240 has 112 divisors (see below), whose sum is σ = 1389302784. Its totient is φ = 164044800.

The previous prime is 494482229. The next prime is 494482273. The reversal of 494482240 is 42284494.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 494482240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65880 + ... + 73000.

Almost surely, 2494482240 is an apocalyptic number.

494482240 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 494482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694651392).

494482240 is an abundant number, since it is smaller than the sum of its proper divisors (894820544).

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

494482240 is a wasteful number, since it uses less digits than its factorization.

494482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 494482240 is about 22236.9566263012. The cubic root of 494482240 is about 790.7700870867.

The spelling of 494482240 in words is "four hundred ninety-four million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 4340 4960 6944 7121 8680 9920 13888 14242 17360 28484 34720 35605 49847 56968 69440 71210 99694 113936 142420 199388 220751 227872 249235 284840 398776 441502 455744 498470 569680 797552 883004 996940 1103755 1139360 1545257 1595104 1766008 1993880 2207510 2278720 3090514 3190208 3532016 3987760 4415020 6181028 7064032 7726285 7975520 8830040 12362056 14128064 15452570 15951040 17660080 24724112 30905140 35320160 49448224 61810280 70640320 98896448 123620560 247241120 494482240