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542213000 = 23537292671
BaseRepresentation
bin100000010100011…
…000001110001000
31101210021021101222
4200110120032020
52102301304000
6125445301212
716302506630
oct4024301610
91353237358
10542213000
1125907971a
12131704808
1388444cc4
14520236c0
1532905a85
hex20518388

542213000 has 128 divisors (see below), whose sum is σ = 1500595200. Its totient is φ = 179424000.

The previous prime is 542212997. The next prime is 542213027. The reversal of 542213000 is 312245.

It is a self number, because there is not a number n which added to its sum of digits gives 542213000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201665 + ... + 204335.

It is an arithmetic number, because the mean of its divisors is an integer number (11723400).

Almost surely, 2542213000 is an apocalyptic number.

542213000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750297600).

542213000 is an abundant number, since it is smaller than the sum of its proper divisors (958382200).

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

542213000 is a wasteful number, since it uses less digits than its factorization.

542213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 542213000 is about 23285.4675709980. The cubic root of 542213000 is about 815.4361773767.

Adding to 542213000 its reverse (312245), we get a palindrome (542525245).

The spelling of 542213000 in words is "five hundred forty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2671 2900 3500 3625 4060 5075 5342 5800 7000 7250 8120 10150 10684 13355 14500 18697 20300 21368 25375 26710 29000 37394 40600 50750 53420 66775 74788 77459 93485 101500 106840 133550 149576 154918 186970 203000 267100 309836 333875 373940 387295 467425 534200 542213 619672 667750 747880 774590 934850 1084426 1335500 1549180 1869700 1936475 2168852 2337125 2671000 2711065 3098360 3739400 3872950 4337704 4674250 5422130 7745900 9348500 9682375 10844260 13555325 15491800 18697000 19364750 21688520 27110650 38729500 54221300 67776625 77459000 108442600 135553250 271106500 542213000