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5001984 = 283213167
BaseRepresentation
bin10011000101001100000000
3100102010102200
4103011030000
52240030414
6255113200
760342021
oct23051400
910363380
105001984
112907079
121812800
131061970
14942c48
1568c109
hex4c5300

5001984 has 108 divisors (see below), whose sum is σ = 15624336. Its totient is φ = 1529856.

The previous prime is 5001979. The next prime is 5002001. The reversal of 5001984 is 4891005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29869 + ... + 30035.

Almost surely, 25001984 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 5001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812168).

5001984 is an abundant number, since it is smaller than the sum of its proper divisors (10622352).

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

5001984 is a wasteful number, since it uses less digits than its factorization.

5001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5001984 is about 2236.5115693866. The cubic root of 5001984 is about 171.0202089587.

Adding to 5001984 its reverse (4891005), we get a palindrome (9892989).

The spelling of 5001984 in words is "five million, one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 167 192 208 234 256 288 312 334 384 416 468 501 576 624 668 768 832 936 1002 1152 1248 1336 1503 1664 1872 2004 2171 2304 2496 2672 3006 3328 3744 4008 4342 4992 5344 6012 6513 7488 8016 8684 9984 10688 12024 13026 14976 16032 17368 19539 21376 24048 26052 29952 32064 34736 39078 42752 48096 52104 64128 69472 78156 96192 104208 128256 138944 156312 192384 208416 277888 312624 384768 416832 555776 625248 833664 1250496 1667328 2500992 5001984