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542558224 = 2413192347127
BaseRepresentation
bin100000010101101…
…100100000010000
31101210220210222001
4200111230200100
52102343330344
6125500523344
716305445255
oct4025544020
91353823861
10542558224
1125929502a
12131850554
1388536190
14520b342c
1532972ed4
hex2056c810

542558224 has 160 divisors (see below), whose sum is σ = 1279918080. Its totient is φ = 220340736.

The previous prime is 542558221. The next prime is 542558227. The reversal of 542558224 is 422855245.

It is an interprime number because it is at equal distance from previous prime (542558221) and next prime (542558227).

It is not an unprimeable number, because it can be changed into a prime (542558221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4272049 + ... + 4272175.

It is an arithmetic number, because the mean of its divisors is an integer number (7999488).

Almost surely, 2542558224 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 542558224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639959040).

542558224 is an abundant number, since it is smaller than the sum of its proper divisors (737359856).

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

542558224 is a wasteful number, since it uses less digits than its factorization.

542558224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 128000, while the sum is 37.

The square root of 542558224 is about 23292.8792552574. The cubic root of 542558224 is about 815.6092018862.

The spelling of 542558224 in words is "five hundred forty-two million, five hundred fifty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 47 52 76 92 94 104 127 152 184 188 208 247 254 299 304 368 376 437 494 508 598 611 752 874 893 988 1016 1081 1196 1222 1651 1748 1786 1976 2032 2162 2392 2413 2444 2921 3302 3496 3572 3952 4324 4784 4826 4888 5681 5842 5969 6604 6992 7144 8648 9652 9776 11362 11609 11684 11938 13208 14053 14288 17296 19304 20539 22724 23218 23368 23876 26416 28106 31369 37973 38608 41078 45448 46436 46736 47752 55499 56212 62738 75946 77597 82156 90896 92872 95504 110998 112424 113411 125476 137287 151892 155194 164312 185744 221996 224848 226822 250952 267007 274574 303784 310388 328624 443992 453644 501904 534014 549148 607568 620776 721487 887984 907288 1068028 1098296 1241552 1442974 1474343 1784731 1814576 2136056 2196592 2608453 2885948 2948686 3569462 4272112 5216906 5771896 5897372 7138924 10433812 11543792 11794744 14277848 20867624 23589488 28555696 33909889 41735248 67819778 135639556 271279112 542558224