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5443416 = 2333112979
BaseRepresentation
bin10100110000111101011000
3101020112222000
4110300331120
52343142131
6312401000
764161006
oct24607530
911215860
105443416
1130887a0
1219a6160
131187874
14a19a76
15727ce6
hex530f58

5443416 has 128 divisors (see below), whose sum is σ = 17280000. Its totient is φ = 1572480.

The previous prime is 5443409. The next prime is 5443423. The reversal of 5443416 is 6143445.

It is an interprime number because it is at equal distance from previous prime (5443409) and next prime (5443423).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5443416.

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 31 ways as a sum of consecutive naturals, for example, 68865 + ... + 68943.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 25443416 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 5443416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640000).

5443416 is an abundant number, since it is smaller than the sum of its proper divisors (11836584).

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

5443416 is a wasteful number, since it uses less digits than its factorization.

5443416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5443416 is about 2333.1129419726. The cubic root of 5443416 is about 175.9099918556.

The spelling of 5443416 in words is "five million, four hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 79 87 88 99 108 116 132 158 174 198 216 232 237 261 264 297 316 319 348 396 474 522 594 632 638 696 711 783 792 869 948 957 1044 1188 1276 1422 1566 1738 1896 1914 2088 2133 2291 2376 2552 2607 2844 2871 3132 3476 3828 4266 4582 5214 5688 5742 6264 6873 6952 7656 7821 8532 8613 9164 10428 11484 13746 15642 17064 17226 18328 20619 20856 22968 23463 25201 27492 31284 34452 41238 46926 50402 54984 61857 62568 68904 75603 82476 93852 100804 123714 151206 164952 187704 201608 226809 247428 302412 453618 494856 604824 680427 907236 1360854 1814472 2721708 5443416