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494049480 = 233531592251
BaseRepresentation
bin11101011100101…
…001100011001000
31021102122022110220
4131130221203020
52002434040410
6121005110040
715146231331
oct3534514310
91242568426
10494049480
11233972761
12119558320
137b480792
1449887288
152d590070
hex1d7298c8

494049480 has 128 divisors (see below), whose sum is σ = 1556582400. Its totient is φ = 125280000.

The previous prime is 494049469. The next prime is 494049497. The reversal of 494049480 is 84940494.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218355 + ... + 220605.

It is an arithmetic number, because the mean of its divisors is an integer number (12160800).

Almost surely, 2494049480 is an apocalyptic number.

494049480 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 494049480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778291200).

494049480 is an abundant number, since it is smaller than the sum of its proper divisors (1062532920).

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

494049480 is a wasteful number, since it uses less digits than its factorization.

494049480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 494049480 is about 22227.2238482452. The cubic root of 494049480 is about 790.5393315500.

The spelling of 494049480 in words is "four hundred ninety-four million, forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 59 60 62 93 118 120 124 155 177 186 236 248 295 310 354 372 465 472 590 620 708 744 885 930 1180 1240 1416 1770 1829 1860 2251 2360 3540 3658 3720 4502 5487 6753 7080 7316 9004 9145 10974 11255 13506 14632 18008 18290 21948 22510 27012 27435 33765 36580 43896 45020 54024 54870 67530 69781 73160 90040 109740 132809 135060 139562 209343 219480 265618 270120 279124 348905 398427 418686 531236 558248 664045 697810 796854 837372 1046715 1062472 1328090 1395620 1593708 1674744 1992135 2093430 2656180 2791240 3187416 3984270 4117079 4186860 5312360 7968540 8234158 8373720 12351237 15937080 16468316 20585395 24702474 32936632 41170790 49404948 61756185 82341580 98809896 123512370 164683160 247024740 494049480