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5163312 = 2437112127
BaseRepresentation
bin10011101100100100110000
3100201022201210
4103230210300
52310211222
6302400120
761613250
oct23544460
910638653
105163312
112a07300
121890040
1310ba21b
14985960
156bed0c
hex4ec930

5163312 has 120 divisors (see below), whose sum is σ = 16887808. Its totient is φ = 1330560.

The previous prime is 5163289. The next prime is 5163317. The reversal of 5163312 is 2133615.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5163317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40593 + ... + 40719.

Almost surely, 25163312 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 5163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443904).

5163312 is an abundant number, since it is smaller than the sum of its proper divisors (11724496).

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

5163312 is a wasteful number, since it uses less digits than its factorization.

5163312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 5163312 is about 2272.2922347269. The cubic root of 5163312 is about 172.8394157342.

Subtracting from 5163312 its sum of digits (21), we obtain a triangular number (5163291 = T3213).

Adding to 5163312 its reverse (2133615), we get a palindrome (7296927).

It can be divided in two parts, 516 and 3312, that added together give a triangular number (3828 = T87).

The spelling of 5163312 in words is "five million, one hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 127 132 154 168 176 231 242 254 264 308 336 363 381 462 484 508 528 616 726 762 847 889 924 968 1016 1232 1397 1452 1524 1694 1778 1848 1936 2032 2541 2667 2794 2904 3048 3388 3556 3696 4191 5082 5334 5588 5808 6096 6776 7112 8382 9779 10164 10668 11176 13552 14224 15367 16764 19558 20328 21336 22352 29337 30734 33528 39116 40656 42672 46101 58674 61468 67056 78232 92202 107569 117348 122936 156464 184404 215138 234696 245872 322707 368808 430276 469392 645414 737616 860552 1290828 1721104 2581656 5163312