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542276112 = 243719173491
BaseRepresentation
bin100000010100100…
…111101000010000
31101210101110222110
4200110213220100
52102310313422
6125450505320
716303161630
oct4024475020
91353343873
10542276112
11259112084
12131735240
1388467951
145203c6c0
153291960c
hex20527a10

542276112 has 160 divisors (see below), whose sum is σ = 1698462720. Its totient is φ = 145635840.

The previous prime is 542276089. The next prime is 542276123. The reversal of 542276112 is 211672245.

It is a self number, because there is not a number n which added to its sum of digits gives 542276112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104187 + ... + 1104677.

It is an arithmetic number, because the mean of its divisors is an integer number (10615392).

Almost surely, 2542276112 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 542276112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849231360).

542276112 is an abundant number, since it is smaller than the sum of its proper divisors (1156186608).

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

542276112 is a wasteful number, since it uses less digits than its factorization.

542276112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 542276112 is about 23286.8227115680. The cubic root of 542276112 is about 815.4678142742.

The spelling of 542276112 in words is "five hundred forty-two million, two hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 173 228 266 304 336 346 399 456 491 519 532 692 798 912 982 1038 1064 1211 1384 1473 1596 1964 2076 2128 2422 2768 2946 3192 3287 3437 3633 3928 4152 4844 5892 6384 6574 6874 7266 7856 8304 9329 9688 9861 10311 11784 13148 13748 14532 18658 19376 19722 20622 23009 23568 26296 27496 27987 29064 37316 39444 41244 46018 52592 54992 55974 58128 65303 69027 74632 78888 82488 84943 92036 111948 130606 138054 149264 157776 164976 169886 184072 195909 223896 254829 261212 276108 339772 368144 391818 447792 509658 522424 552216 594601 679544 783636 1019316 1044848 1104432 1189202 1359088 1567272 1613917 1783803 2038632 2378404 3134544 3227834 3567606 4077264 4756808 4841751 6455668 7135212 9513616 9683502 11297419 12911336 14270424 19367004 22594838 25822672 28540848 33892257 38734008 45189676 67784514 77468016 90379352 135569028 180758704 271138056 542276112