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490074368 = 2871716087
BaseRepresentation
bin11101001101011…
…111000100000000
31021011011100122112
4131031133010000
52000424334433
6120343554452
715100364150
oct3515370400
91234140575
10490074368
112316a8143
1211815ba28
137a6bb344
1449130760
152d057348
hex1d35f100

490074368 has 72 divisors (see below), whose sum is σ = 1183819392. Its totient is φ = 197664768.

The previous prime is 490074349. The next prime is 490074371. The reversal of 490074368 is 863470094.

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 7 ways as a sum of consecutive naturals, for example, 22421 + ... + 38507.

It is an arithmetic number, because the mean of its divisors is an integer number (16441936).

Almost surely, 2490074368 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 490074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591909696).

490074368 is an abundant number, since it is smaller than the sum of its proper divisors (693745024).

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

490074368 is a wasteful number, since it uses less digits than its factorization.

490074368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16127 (or 16113 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 490074368 is about 22137.6233593401. The cubic root of 490074368 is about 788.4133984845.

The spelling of 490074368 in words is "four hundred ninety million, seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 16087 30464 32174 64348 112609 128696 225218 257392 273479 450436 514784 546958 900872 1029568 1093916 1801744 1914353 2059136 2187832 3603488 3828706 4118272 4375664 7206976 7657412 8751328 14413952 15314824 17502656 28827904 30629648 35005312 61259296 70010624 122518592 245037184 490074368