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549012144 = 243172192083
BaseRepresentation
bin100000101110010…
…100001010110000
31102021001201002010
4200232110022300
52111021342034
6130251122520
716414345332
oct4056241260
91367051063
10549012144
112619a2a4a
12133a43440
1389985975
1452cb3452
15332ea3e9
hex20b942b0

549012144 has 120 divisors (see below), whose sum is σ = 1586674240. Its totient is φ = 163095552.

The previous prime is 549012133. The next prime is 549012151. The reversal of 549012144 is 441210945.

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, 262527 + ... + 264609.

Almost surely, 2549012144 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 549012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793337120).

549012144 is an abundant number, since it is smaller than the sum of its proper divisors (1037662096).

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

549012144 is a wasteful number, since it uses less digits than its factorization.

549012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 549012144 is about 23431.0081729319. The cubic root of 549012144 is about 818.8304484865.

The spelling of 549012144 in words is "five hundred forty-nine million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 289 304 323 408 456 578 646 816 867 912 969 1156 1292 1734 1938 2083 2312 2584 3468 3876 4166 4624 5168 5491 6249 6936 7752 8332 10982 12498 13872 15504 16473 16664 21964 24996 32946 33328 35411 39577 43928 49992 65892 70822 79154 87856 99984 106233 118731 131784 141644 158308 212466 237462 263568 283288 316616 424932 474924 566576 601987 633232 672809 849864 949848 1203974 1345618 1699728 1805961 1899696 2018427 2407948 2691236 3611922 4036854 4815896 5382472 7223844 8073708 9631792 10764944 11437753 14447688 16147416 22875506 28895376 32294832 34313259 45751012 68626518 91502024 137253036 183004048 274506072 549012144