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542020500 = 223253717207
BaseRepresentation
bin100000010011101…
…001001110010100
31101202220111100100
4200103221032110
52102224124000
6125441214100
716301045460
oct4023511624
91352814310
10542020500
11258a5802a
12131631330
13883a84b8
1451db34a0
15328b8a00
hex204e9394

542020500 has 144 divisors (see below), whose sum is σ = 1954278144. Its totient is φ = 123883200.

The previous prime is 542020487. The next prime is 542020519. The reversal of 542020500 is 5020245.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22897 + ... + 40103.

It is an arithmetic number, because the mean of its divisors is an integer number (13571376).

Almost surely, 2542020500 is an apocalyptic number.

542020500 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 542020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977139072).

542020500 is an abundant number, since it is smaller than the sum of its proper divisors (1412257644).

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

542020500 is a wasteful number, since it uses less digits than its factorization.

542020500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17239 (or 17224 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 542020500 is about 23281.3337246817. Note that the first 3 decimals coincide. The cubic root of 542020500 is about 815.3396654621.

Adding to 542020500 its reverse (5020245), we get a palindrome (547040745).

The spelling of 542020500 in words is "five hundred forty-two million, twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7875 10500 15750 17207 31500 34414 51621 68828 86035 103242 120449 154863 172070 206484 240898 258105 309726 344140 361347 430175 481796 516210 602245 619452 722694 774315 860350 1032420 1084041 1204490 1290525 1445388 1548630 1720700 1806735 2150875 2168082 2408980 2581050 3011225 3097260 3613470 3871575 4301750 4336164 5162100 5420205 6022450 6452625 7226940 7743150 8603500 9033675 10840410 12044900 12905250 15056125 15486300 18067350 19357875 21680820 25810500 27101025 30112250 36134700 38715750 45168375 54202050 60224500 77431500 90336750 108404100 135505125 180673500 271010250 542020500