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542284180 = 22543719877
BaseRepresentation
bin100000010100101…
…001100110010100
31101210101220001021
4200110221212110
52102311043210
6125451010524
716303224304
oct4024514624
91353356037
10542284180
11259118149
12131739a44
138846b519
1452041604
153291bbda
hex20529994

542284180 has 48 divisors (see below), whose sum is σ = 1168231680. Its totient is φ = 211333248.

The previous prime is 542284153. The next prime is 542284201. The reversal of 542284180 is 81482245.

It is a congruent number.

It is an unprimeable number.

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, 617902 + ... + 618778.

It is an arithmetic number, because the mean of its divisors is an integer number (24338160).

Almost surely, 2542284180 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 542284180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584115840).

542284180 is an abundant number, since it is smaller than the sum of its proper divisors (625947500).

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

542284180 is a wasteful number, since it uses less digits than its factorization.

542284180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 542284180 is about 23286.9959419415. The cubic root of 542284180 is about 815.4718584389.

The spelling of 542284180 in words is "five hundred forty-two million, two hundred eighty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 719 860 877 1438 1754 2876 3508 3595 4385 7190 8770 14380 17540 30917 37711 61834 75422 123668 150844 154585 188555 309170 377110 618340 630563 754220 1261126 2522252 3152815 6305630 12611260 27114209 54228418 108456836 135571045 271142090 542284180