Search a number
-
+
549369840 = 243547113431
BaseRepresentation
bin100000101111101…
…011011111110000
31102021201212202010
4200233223133300
52111114313330
6130302522520
716420365225
oct4057533760
91367655663
10549369840
11262117768
12133b96440
1389a7c716
1452d6794c
153336b3b0
hex20beb7f0

549369840 has 160 divisors (see below), whose sum is σ = 1758744576. Its totient is φ = 141783040.

The previous prime is 549369803. The next prime is 549369859. The reversal of 549369840 is 48963945.

It is a super-2 number, since 2×5493698402 = 603614442203251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 549369840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274425 + ... + 1274855.

Almost surely, 2549369840 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 549369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879372288).

549369840 is an abundant number, since it is smaller than the sum of its proper divisors (1209374736).

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

549369840 is a wasteful number, since it uses less digits than its factorization.

549369840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 549369840 is about 23438.6398922804. The cubic root of 549369840 is about 819.0082398118.

The spelling of 549369840 in words is "five hundred forty-nine million, three hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 113 120 141 188 226 235 240 282 339 376 431 452 470 564 565 678 705 752 862 904 940 1128 1130 1293 1356 1410 1695 1724 1808 1880 2155 2256 2260 2586 2712 2820 3390 3448 3760 4310 4520 5172 5311 5424 5640 6465 6780 6896 8620 9040 10344 10622 11280 12930 13560 15933 17240 20257 20688 21244 25860 26555 27120 31866 34480 40514 42488 48703 51720 53110 60771 63732 79665 81028 84976 97406 101285 103440 106220 121542 127464 146109 159330 162056 194812 202570 212440 243084 243515 254928 292218 303855 318660 324112 389624 405140 424880 486168 487030 584436 607710 637320 730545 779248 810280 972336 974060 1168872 1215420 1274640 1461090 1620560 1948120 2289041 2337744 2430840 2922180 3896240 4578082 4861680 5844360 6867123 9156164 11445205 11688720 13734246 18312328 22890410 27468492 34335615 36624656 45780820 54936984 68671230 91561640 109873968 137342460 183123280 274684920 549369840