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542442216 = 23329312811
BaseRepresentation
bin100000010101010…
…000001011101000
31101210200220211110
4200111100023220
52102331122331
6125454230320
716304453121
oct4025201350
91353626743
10542442216
11259215958
121317b53a0
13884c5434
1452083048
153294d946
hex205502e8

542442216 has 96 divisors (see below), whose sum is σ = 1451368800. Its totient is φ = 168739200.

The previous prime is 542442211. The next prime is 542442221. The reversal of 542442216 is 612244245.

It is an interprime number because it is at equal distance from previous prime (542442211) and next prime (542442221).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (542442211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668451 + ... + 669261.

It is an arithmetic number, because the mean of its divisors is an integer number (15118425).

Almost surely, 2542442216 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 542442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725684400).

542442216 is an abundant number, since it is smaller than the sum of its proper divisors (908926584).

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

542442216 is a wasteful number, since it uses less digits than its factorization.

542442216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 876 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 542442216 is about 23290.3889190370. The cubic root of 542442216 is about 815.5510674578.

The spelling of 542442216 in words is "five hundred forty-two million, four hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 811 899 961 1622 1798 1922 2433 2697 2883 3244 3596 3844 4866 5394 5766 6488 7192 7688 9732 10788 11532 19464 21576 23064 23519 25141 27869 47038 50282 55738 70557 75423 83607 94076 100564 111476 141114 150846 167214 188152 201128 222952 282228 301692 334428 564456 603384 668856 729089 779371 1458178 1558742 2187267 2338113 2916356 3117484 4374534 4676226 5832712 6234968 8749068 9352452 17498136 18704904 22601759 45203518 67805277 90407036 135610554 180814072 271221108 542442216