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5481216 = 28331361
BaseRepresentation
bin10100111010001100000000
3101022110211000
4110322030000
52400344331
6313252000
764406136
oct24721400
911273730
105481216
113104134
121a04000
13119bb30
14a29756
157340e6
hex53a300

5481216 has 144 divisors (see below), whose sum is σ = 17741920. Its totient is φ = 1658880.

The previous prime is 5481211. The next prime is 5481227. The reversal of 5481216 is 6121845.

It is a tau number, because it is divible by the number of its divisors (144).

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 5481216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5481211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89826 + ... + 89886.

Almost surely, 25481216 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 5481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870960).

5481216 is an abundant number, since it is smaller than the sum of its proper divisors (12260704).

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

5481216 is a wasteful number, since it uses less digits than its factorization.

5481216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5481216 is about 2341.1996924654. The cubic root of 5481216 is about 176.3162358565.

It can be divided in two parts, 548 and 1216, that added together give a square (1764 = 422).

The spelling of 5481216 in words is "five million, four hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 61 64 72 78 96 104 108 117 122 128 144 156 183 192 208 216 234 244 256 288 312 351 366 384 416 432 468 488 549 576 624 702 732 768 793 832 864 936 976 1098 1152 1248 1404 1464 1586 1647 1664 1728 1872 1952 2196 2304 2379 2496 2808 2928 3172 3294 3328 3456 3744 3904 4392 4758 4992 5616 5856 6344 6588 6912 7137 7488 7808 8784 9516 9984 11232 11712 12688 13176 14274 14976 15616 17568 19032 21411 22464 23424 25376 26352 28548 29952 35136 38064 42822 44928 46848 50752 52704 57096 70272 76128 85644 89856 101504 105408 114192 140544 152256 171288 203008 210816 228384 304512 342576 421632 456768 609024 685152 913536 1370304 1827072 2740608 5481216