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542671128 = 233261157787
BaseRepresentation
bin100000010110001…
…000000100011000
31101211010112211200
4200112020010120
52102410434003
6125503154200
716306425366
oct4026100430
91354115750
10542671128
1125936193a
121318a5960
138857569c
1452102636
15329966a3
hex20588118

542671128 has 96 divisors (see below), whose sum is σ = 1505253360. Its totient is φ = 176567040.

The previous prime is 542671109. The next prime is 542671133. The reversal of 542671128 is 821176245.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542671092 and 542671101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689151 + ... + 689937.

Almost surely, 2542671128 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 542671128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752626680).

542671128 is an abundant number, since it is smaller than the sum of its proper divisors (962582232).

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

542671128 is a wasteful number, since it uses less digits than its factorization.

542671128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1010 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 542671128 is about 23295.3027024763. The cubic root of 542671128 is about 815.6657728682.

The spelling of 542671128 in words is "five hundred forty-two million, six hundred seventy-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 157 183 244 314 366 471 488 549 628 732 787 942 1098 1256 1413 1464 1574 1884 2196 2361 2826 3148 3768 4392 4722 5652 6296 7083 9444 9577 11304 14166 18888 19154 28332 28731 38308 48007 56664 57462 76616 86193 96014 114924 123559 144021 172386 192028 229848 247118 288042 344772 370677 384056 432063 494236 576084 689544 741354 864126 988472 1112031 1152168 1482708 1728252 2224062 2965416 3456504 4448124 7537099 8896248 15074198 22611297 30148396 45222594 60296792 67833891 90445188 135667782 180890376 271335564 542671128