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542424420 = 2232518116649
BaseRepresentation
bin100000010101001…
…011110101100100
31101210200000102100
4200111023311210
52102330040140
6125454012100
716304350206
oct4025136544
91353600370
10542424420
1125920354a
121317a7030
13884ba2c5
145207a776
1532948530
hex2054bd64

542424420 has 72 divisors (see below), whose sum is σ = 1654543800. Its totient is φ = 143838720.

The previous prime is 542424397. The next prime is 542424427. The reversal of 542424420 is 24424245.

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 534164544 = 2874^2 + 23112^2 .

It is not an unprimeable number, because it can be changed into a prime (542424427) 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, 24256 + ... + 40904.

It is an arithmetic number, because the mean of its divisors is an integer number (22979775).

Almost surely, 2542424420 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 542424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827271900).

542424420 is an abundant number, since it is smaller than the sum of its proper divisors (1112119380).

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

542424420 is a wasteful number, since it uses less digits than its factorization.

542424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 542424420 is about 23290.0068699002. The cubic root of 542424420 is about 815.5421487164.

Adding to 542424420 its reverse (24424245), we get a palindrome (566848665).

The spelling of 542424420 in words is "five hundred forty-two million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 16649 32580 33298 49947 66596 83245 99894 149841 166490 199788 249735 299682 332980 499470 599364 749205 998940 1498410 2996820 3013469 6026938 9040407 12053876 15067345 18080814 27121221 30134690 36161628 45202035 54242442 60269380 90404070 108484884 135606105 180808140 271212210 542424420