Search a number
-
+
490012416 = 28357877
BaseRepresentation
bin11101001101001…
…111111100000000
31021011001012200000
4131031033330000
52000420344131
6120342400000
715100015425
oct3515177400
91234035600
10490012416
11231665643
12118130000
137a69909a
1449115d4c
152d043ce6
hex1d34ff00

490012416 has 108 divisors (see below), whose sum is σ = 1465339512. Its totient is φ = 163316736.

The previous prime is 490012363. The next prime is 490012429. The reversal of 490012416 is 614210094.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×4900124162 = 480224335668314112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 490012416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58270 + ... + 66146.

Almost surely, 2490012416 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 490012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732669756).

490012416 is an abundant number, since it is smaller than the sum of its proper divisors (975327096).

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

490012416 is an frugal number, since it uses more digits than its factorization.

490012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 490012416 is about 22136.2240682552. The cubic root of 490012416 is about 788.3801750608.

The spelling of 490012416 in words is "four hundred ninety million, twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 7877 10368 15552 15754 20736 23631 31104 31508 47262 62208 63016 70893 94524 126032 141786 189048 212679 252064 283572 378096 425358 504128 567144 638037 756192 850716 1008256 1134288 1276074 1512384 1701432 1914111 2016512 2268576 2552148 3024768 3402864 3828222 4537152 5104296 6049536 6805728 7656444 9074304 10208592 13611456 15312888 18148608 20417184 27222912 30625776 40834368 54445824 61251552 81668736 122503104 163337472 245006208 490012416