Search a number
-
+
494813520 = 243258292
BaseRepresentation
bin11101011111100…
…100000101010000
31021111002010112200
4131133210011100
52003133013040
6121033323200
715155563005
oct3537440520
91244063480
10494813520
112343447a3
12119866500
137b68a486
1449a058ac
152d691630
hex1d7e4150

494813520 has 90 divisors (see below), whose sum is σ = 1663755678. Its totient is φ = 131791104.

The previous prime is 494813519. The next prime is 494813531. The reversal of 494813520 is 25318494.

It can be written as a sum of positive squares in 3 ways, for example, as 74235456 + 420578064 = 8616^2 + 20508^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 596466 + ... + 597294.

Almost surely, 2494813520 is an apocalyptic number.

494813520 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 494813520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831877839).

494813520 is an abundant number, since it is smaller than the sum of its proper divisors (1168942158).

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

494813520 is an equidigital number, since it uses as much as digits as its factorization.

494813520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 494813520 is about 22244.4042401679. The cubic root of 494813520 is about 790.9466406703.

The spelling of 494813520 in words is "four hundred ninety-four million, eight hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 829 1658 2487 3316 4145 4974 6632 7461 8290 9948 12435 13264 14922 16580 19896 24870 29844 33160 37305 39792 49740 59688 66320 74610 99480 119376 149220 198960 298440 596880 687241 1374482 2061723 2748964 3436205 4123446 5497928 6185169 6872410 8246892 10308615 10995856 12370338 13744820 16493784 20617230 24740676 27489640 30925845 32987568 41234460 49481352 54979280 61851690 82468920 98962704 123703380 164937840 247406760 494813520