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490071384 = 233411197349
BaseRepresentation
bin11101001101011…
…110010101011000
31021011011012120000
4131031132111120
52000424241014
6120343533000
715100352355
oct3515362530
91234135500
10490071384
112316a5980
1211815a160
137a6b9b8a
144912d62c
152d056509
hex1d35e558

490071384 has 160 divisors (see below), whose sum is σ = 1509354000. Its totient is φ = 147329280.

The previous prime is 490071371. The next prime is 490071403. The reversal of 490071384 is 483170094.

It is a happy number.

It is a super-2 number, since 2×4900713842 = 480339922831350912, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1404042 + ... + 1404390.

Almost surely, 2490071384 is an apocalyptic number.

490071384 is a gapful number since it is divisible by the number (44) 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 490071384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754677000).

490071384 is an abundant number, since it is smaller than the sum of its proper divisors (1019282616).

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

490071384 is a wasteful number, since it uses less digits than its factorization.

490071384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 490071384 is about 22137.5559626622. Note that the first 3 decimals coincide. The cubic root of 490071384 is about 788.4117982986.

The spelling of 490071384 in words is "four hundred ninety million, seventy-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 197 198 216 264 297 324 349 394 396 591 594 648 698 788 792 891 1047 1182 1188 1396 1576 1773 1782 2094 2167 2364 2376 2792 3141 3546 3564 3839 4188 4334 4728 5319 6282 6501 7092 7128 7678 8376 8668 9423 10638 11517 12564 13002 14184 15356 15957 17336 18846 19503 21276 23034 25128 26004 28269 30712 31914 34551 37692 39006 42552 46068 52008 56538 58509 63828 68753 69102 75384 78012 92136 103653 113076 117018 127656 137506 138204 156024 175527 206259 207306 226152 234036 275012 276408 310959 351054 412518 414612 468072 550024 618777 621918 702108 756283 825036 829224 1237554 1243836 1404216 1512566 1650072 1856331 2268849 2475108 2487672 3025132 3712662 4537698 4950216 5568993 6050264 6806547 7425324 9075396 11137986 13613094 14850648 18150792 20419641 22275972 27226188 40839282 44551944 54452376 61258923 81678564 122517846 163357128 245035692 490071384