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5727168 = 263261163
BaseRepresentation
bin10101110110001111000000
3101202222012100
4111312033000
52431232133
6322430400
766452166
oct25661700
911688170
105727168
1132619a7
121b02400
131256a75
14a91236
15781e13
hex5763c0

5727168 has 84 divisors (see below), whose sum is σ = 16787368. Its totient is φ = 1866240.

The previous prime is 5727149. The next prime is 5727199. The reversal of 5727168 is 8617275.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35055 + ... + 35217.

Almost surely, 25727168 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 5727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393684).

5727168 is an abundant number, since it is smaller than the sum of its proper divisors (11060200).

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

5727168 is a wasteful number, since it uses less digits than its factorization.

5727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 5727168 is about 2393.1502251217. The cubic root of 5727168 is about 178.9149539297.

It can be divided in two parts, 57 and 27168, that added together give a square (27225 = 1652).

The spelling of 5727168 in words is "five million, seven hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 163 183 192 244 288 326 366 488 489 549 576 652 732 976 978 1098 1304 1464 1467 1952 1956 2196 2608 2928 2934 3904 3912 4392 5216 5856 5868 7824 8784 9943 10432 11712 11736 15648 17568 19886 23472 29829 31296 35136 39772 46944 59658 79544 89487 93888 119316 159088 178974 238632 318176 357948 477264 636352 715896 954528 1431792 1909056 2863584 5727168