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5459916 = 22371119311
BaseRepresentation
bin10100110100111111001100
3101021101121010
4110310333030
52344204131
6313005220
764260060
oct24647714
911241533
105459916
11309a130
1219b3810
131192227
14a21aa0
1572cb46
hex534fcc

5459916 has 96 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1339200.

The previous prime is 5459911. The next prime is 5459921. The reversal of 5459916 is 6199545.

It is an interprime number because it is at equal distance from previous prime (5459911) and next prime (5459921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5459911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17401 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 25459916 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 5459916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

5459916 is an abundant number, since it is smaller than the sum of its proper divisors (11313204).

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

5459916 is a wasteful number, since it uses less digits than its factorization.

5459916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 5459916 is about 2336.6463146998. The cubic root of 5459916 is about 176.0875511375.

It can be divided in two parts, 54599 and 16, that added together give a triangular number (54615 = T330).

The spelling of 5459916 in words is "five million, four hundred fifty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 311 399 418 462 532 622 627 798 836 924 933 1244 1254 1463 1596 1866 2177 2508 2926 3421 3732 4354 4389 5852 5909 6531 6842 8708 8778 10263 11818 13062 13684 17556 17727 20526 23636 23947 26124 35454 41052 41363 47894 64999 70908 71841 82726 95788 124089 129998 143682 165452 194997 248178 259996 287364 389994 454993 496356 779988 909986 1364979 1819972 2729958 5459916