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5249916 = 2232783251
BaseRepresentation
bin10100000001101101111100
3100212201112100
4110001231330
52320444131
6304305100
762423610
oct24015574
910781470
105249916
112a66381
121912190
13111a779
149a9340
156da7e6
hex501b7c

5249916 has 72 divisors (see below), whose sum is σ = 15410304. Its totient is φ = 1476000.

The previous prime is 5249903. The next prime is 5249921. The reversal of 5249916 is 6199425.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 20791 + ... + 21041.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 25249916 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 5249916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152).

5249916 is an abundant number, since it is smaller than the sum of its proper divisors (10160388).

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

5249916 is a wasteful number, since it uses less digits than its factorization.

5249916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 5249916 is about 2291.2695171018. The cubic root of 5249916 is about 173.8004052989.

It can be divided in two parts, 5249 and 916, that multiplied together give a palindrome (4808084).

The spelling of 5249916 in words is "five million, two hundred forty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 251 252 332 498 502 581 747 753 996 1004 1162 1494 1506 1743 1757 2259 2324 2988 3012 3486 3514 4518 5229 5271 6972 7028 9036 10458 10542 15813 20833 20916 21084 31626 41666 62499 63252 83332 124998 145831 187497 249996 291662 374994 437493 583324 749988 874986 1312479 1749972 2624958 5249916