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549714144 = 25372137853
BaseRepresentation
bin100000110000111…
…111100011100000
31102022101101001010
4200300333203200
52111211323034
6130314140520
716423331100
oct4060774340
91368341033
10549714144
11262332411
12134121740
1389b70355
1453017200
15333d83e9
hex20c3f8e0

549714144 has 144 divisors (see below), whose sum is σ = 1692826128. Its totient is φ = 155731968.

The previous prime is 549714133. The next prime is 549714149. The reversal of 549714144 is 441417945.

It is a super-2 number, since 2×5497141442 = 604371280227305472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549714149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644022 + ... + 644874.

It is an arithmetic number, because the mean of its divisors is an integer number (11755737).

Almost surely, 2549714144 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 549714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846413064).

549714144 is an abundant number, since it is smaller than the sum of its proper divisors (1143111984).

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

549714144 is a wasteful number, since it uses less digits than its factorization.

549714144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1002 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 549714144 is about 23445.9835366316. The cubic root of 549714144 is about 819.1793018198.

The spelling of 549714144 in words is "five hundred forty-nine million, seven hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 137 147 168 196 224 274 294 336 392 411 548 588 672 784 822 853 959 1096 1176 1568 1644 1706 1918 2192 2352 2559 2877 3288 3412 3836 4384 4704 5118 5754 5971 6576 6713 6824 7672 10236 11508 11942 13152 13426 13648 15344 17913 20139 20472 23016 23884 26852 27296 30688 35826 40278 40944 41797 46032 47768 53704 71652 80556 81888 83594 92064 95536 107408 116861 125391 143304 161112 167188 191072 214816 233722 250782 286608 322224 334376 350583 467444 501564 573216 644448 668752 701166 818027 934888 1003128 1337504 1402332 1636054 1869776 2006256 2454081 2804664 3272108 3739552 4012512 4908162 5609328 5726189 6544216 9816324 11218656 11452378 13088432 17178567 19632648 22904756 26176864 34357134 39265296 45809512 68714268 78530592 91619024 137428536 183238048 274857072 549714144