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5007024 = 24321129109
BaseRepresentation
bin10011000110011010110000
3100102101100100
4103012122300
52240211044
6255152400
760362511
oct23063260
910371310
105007024
11290a940
121815700
131064049
14944a08
1568d869
hex4c66b0

5007024 has 120 divisors (see below), whose sum is σ = 15958800. Its totient is φ = 1451520.

The previous prime is 5007017. The next prime is 5007047. The reversal of 5007024 is 4207005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5006988 and 5007006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45882 + ... + 45990.

It is an arithmetic number, because the mean of its divisors is an integer number (132990).

Almost surely, 25007024 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 5007024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979400).

5007024 is an abundant number, since it is smaller than the sum of its proper divisors (10951776).

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

5007024 is a wasteful number, since it uses less digits than its factorization.

5007024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5007024 is about 2237.6380404346. The cubic root of 5007024 is about 171.0776296753.

The spelling of 5007024 in words is "five million, seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 109 116 132 144 174 176 198 218 232 261 264 319 327 348 396 436 464 522 528 638 654 696 792 872 957 981 1044 1199 1276 1308 1392 1584 1744 1914 1962 2088 2398 2552 2616 2871 3161 3597 3828 3924 4176 4796 5104 5232 5742 6322 7194 7656 7848 9483 9592 10791 11484 12644 14388 15312 15696 18966 19184 21582 22968 25288 28449 28776 34771 37932 43164 45936 50576 56898 57552 69542 75864 86328 104313 113796 139084 151728 172656 208626 227592 278168 312939 417252 455184 556336 625878 834504 1251756 1669008 2503512 5007024