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542108448 = 253271092467
BaseRepresentation
bin100000010011111…
…110101100100000
31101210001221222200
4200103332230200
52102234432243
6125443133200
716301563050
oct4023765440
91353057880
10542108448
11259008112
12131674200
138840953b
1451dd7560
15328d4ad3
hex204feb20

542108448 has 144 divisors (see below), whose sum is σ = 1778736960. Its totient is φ = 153404928.

The previous prime is 542108447. The next prime is 542108449. The reversal of 542108448 is 844801245.

542108448 is a `hidden beast` number, since 542 + 108 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (542108447) and next prime (542108449).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (542108447) 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, 218511 + ... + 220977.

It is an arithmetic number, because the mean of its divisors is an integer number (12352340).

Almost surely, 2542108448 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 542108448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889368480).

542108448 is an abundant number, since it is smaller than the sum of its proper divisors (1236628512).

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

542108448 is a wasteful number, since it uses less digits than its factorization.

542108448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 542108448 is about 23283.2224573833. Note that the first 3 decimals coincide. The cubic root of 542108448 is about 815.3837619584.

The spelling of 542108448 in words is "five hundred forty-two million, one hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 672 763 872 981 1008 1308 1526 1744 1962 2016 2289 2467 2616 3052 3488 3924 4578 4934 5232 6104 6867 7401 7848 9156 9868 10464 12208 13734 14802 15696 17269 18312 19736 22203 24416 27468 29604 31392 34538 36624 39472 44406 51807 54936 59208 69076 73248 78944 88812 103614 109872 118416 138152 155421 177624 207228 219744 236832 268903 276304 310842 355248 414456 537806 552608 621684 710496 806709 828912 1075612 1243368 1613418 1657824 1882321 2151224 2420127 2486736 3226836 3764642 4302448 4840254 4973472 5646963 6453672 7529284 8604896 9680508 11293926 12907344 15058568 16940889 19361016 22587852 25814688 30117136 33881778 38722032 45175704 60234272 67763556 77444064 90351408 135527112 180702816 271054224 542108448