Search a number
-
+
5068008 = 23361179
BaseRepresentation
bin10011010101010011101000
3100112111000000
4103111103220
52244134013
6300343000
761035351
oct23252350
910474000
105068008
112951740
121844a60
131085a2a
1495cd28
156a1973
hex4d54e8

5068008 has 112 divisors (see below), whose sum is σ = 15739200. Its totient is φ = 1516320.

The previous prime is 5067991. The next prime is 5068031. The reversal of 5068008 is 8008605.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64113 + ... + 64191.

Almost surely, 25068008 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 5068008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869600).

5068008 is an abundant number, since it is smaller than the sum of its proper divisors (10671192).

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

5068008 is a wasteful number, since it uses less digits than its factorization.

5068008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5068008 is about 2251.2236672530. The cubic root of 5068008 is about 171.7693862673.

The spelling of 5068008 in words is "five million, sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 79 81 88 99 108 132 158 162 198 216 237 243 264 297 316 324 396 474 486 594 632 648 711 729 792 869 891 948 972 1188 1422 1458 1738 1782 1896 1944 2133 2376 2607 2673 2844 2916 3476 3564 4266 5214 5346 5688 5832 6399 6952 7128 7821 8019 8532 10428 10692 12798 15642 16038 17064 19197 20856 21384 23463 25596 31284 32076 38394 46926 51192 57591 62568 64152 70389 76788 93852 115182 140778 153576 187704 211167 230364 281556 422334 460728 563112 633501 844668 1267002 1689336 2534004 5068008