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549072 = 24333141
BaseRepresentation
bin10000110000011010000
31000220012000
42012003100
5120032242
615434000
74444536
oct2060320
91026160
10549072
11345587
12225900
13162bc4
14104156
15aca4c
hex860d0

549072 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 172800.

The previous prime is 549071. The next prime is 549089. The reversal of 549072 is 270945.

549072 = 33 + 43 + ... + 383.

It is a super-2 number, since 2×5490722 = 602960122368, which contains 22 as substring.

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

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549071) 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, 13372 + ... + 13412.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2549072 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 549072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

549072 is an abundant number, since it is smaller than the sum of its proper divisors (1117488).

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

549072 is a wasteful number, since it uses less digits than its factorization.

549072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 549072 is about 740.9939271006. The cubic root of 549072 is about 81.8860205044.

The spelling of 549072 in words is "five hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 41 48 54 62 72 82 93 108 123 124 144 164 186 216 246 248 279 328 369 372 432 492 496 558 656 738 744 837 984 1107 1116 1271 1476 1488 1674 1968 2214 2232 2542 2952 3348 3813 4428 4464 5084 5904 6696 7626 8856 10168 11439 13392 15252 17712 20336 22878 30504 34317 45756 61008 68634 91512 137268 183024 274536 549072