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542218008 = 233234872017
BaseRepresentation
bin100000010100011…
…001011100011000
31101210021112021110
4200110121130120
52102301434013
6125445340320
716302530343
oct4024313430
91353245243
10542218008
11259082462
121317076a0
1388447377
145202545a
15329072c3
hex20519718

542218008 has 64 divisors (see below), whose sum is σ = 1418088960. Its totient is φ = 172440576.

The previous prime is 542218007. The next prime is 542218057. The reversal of 542218008 is 800812245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542218007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267816 + ... + 269832.

It is an arithmetic number, because the mean of its divisors is an integer number (22157640).

Almost surely, 2542218008 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 542218008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709044480).

542218008 is an abundant number, since it is smaller than the sum of its proper divisors (875870952).

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

542218008 is a wasteful number, since it uses less digits than its factorization.

542218008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 542218008 is about 23285.5751056314. The cubic root of 542218008 is about 815.4386878856.

The spelling of 542218008 in words is "five hundred forty-two million, two hundred eighteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 487 552 974 1461 1948 2017 2922 3896 4034 5844 6051 8068 11201 11688 12102 16136 22402 24204 33603 44804 46391 48408 67206 89608 92782 134412 139173 185564 268824 278346 371128 556692 982279 1113384 1964558 2946837 3929116 5893674 7858232 11787348 22592417 23574696 45184834 67777251 90369668 135554502 180739336 271109004 542218008