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490286368 = 251113307349
BaseRepresentation
bin11101001110010…
…010110100100000
31021011120010110101
4131032102310200
52001003130433
6120352312144
715102236215
oct3516226440
91234503411
10490286368
11231832450
12118242654
137a7639a0
1449187b0c
152d09a07d
hex1d392d20

490286368 has 96 divisors (see below), whose sum is σ = 1140955200. Its totient is φ = 204456960.

The previous prime is 490286347. The next prime is 490286389. The reversal of 490286368 is 863682094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (490286347) and next prime (490286389).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404658 + ... + 1405006.

It is an arithmetic number, because the mean of its divisors is an integer number (11884950).

Almost surely, 2490286368 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 490286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570477600).

490286368 is an abundant number, since it is smaller than the sum of its proper divisors (650668832).

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

490286368 is a wasteful number, since it uses less digits than its factorization.

490286368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 490286368 is about 22142.4110701613. The cubic root of 490286368 is about 788.5270679980.

The spelling of 490286368 in words is "four hundred ninety million, two hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 307 349 352 416 572 614 698 1144 1228 1396 2288 2456 2792 3377 3839 3991 4537 4576 4912 5584 6754 7678 7982 9074 9824 11168 13508 15356 15964 18148 27016 30712 31928 36296 43901 49907 54032 61424 63856 72592 87802 99814 107143 108064 122848 127712 145184 175604 199628 214286 351208 399256 428572 702416 798512 857144 1178573 1392859 1404832 1597024 1714288 2357146 2785718 3428576 4714292 5571436 9428584 11142872 15321449 18857168 22285744 30642898 37714336 44571488 61285796 122571592 245143184 490286368