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5445984 = 253174771
BaseRepresentation
bin10100110001100101100000
3101020200111010
4110301211200
52343232414
6312420520
764201335
oct24614540
911220433
105445984
11308a715
1219a7740
131188a9b
14a1a98c
15728959
hex531960

5445984 has 96 divisors (see below), whose sum is σ = 15676416. Its totient is φ = 1648640.

The previous prime is 5445959. The next prime is 5446003. The reversal of 5445984 is 4895445.

It is a tau number, because it is divible by the number of its divisors (96).

5445984 is a modest number, since divided by 5984 gives 544 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76669 + ... + 76739.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 25445984 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 5445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208).

5445984 is an abundant number, since it is smaller than the sum of its proper divisors (10230432).

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

5445984 is a wasteful number, since it uses less digits than its factorization.

5445984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 5445984 is about 2333.6632147763. The cubic root of 5445984 is about 175.9376500908.

The spelling of 5445984 in words is "five million, four hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 71 94 96 102 136 141 142 188 204 213 272 282 284 376 408 426 544 564 568 752 799 816 852 1128 1136 1207 1504 1598 1632 1704 2256 2272 2397 2414 3196 3337 3408 3621 4512 4794 4828 6392 6674 6816 7242 9588 9656 10011 12784 13348 14484 19176 19312 20022 25568 26696 28968 38352 38624 40044 53392 56729 57936 76704 80088 106784 113458 115872 160176 170187 226916 320352 340374 453832 680748 907664 1361496 1815328 2722992 5445984