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538968288 = 25319417207
BaseRepresentation
bin100000001000000…
…000000011100000
31101120011102111110
4200020000003200
52100433441123
6125251543320
716233104055
oct4010000340
91346142443
10538968288
11257262941
121305bab40
138787a161
145181b02c
15324b4493
hex202000e0

538968288 has 96 divisors (see below), whose sum is σ = 1525789440. Its totient is φ = 166026240.

The previous prime is 538968259. The next prime is 538968299. The reversal of 538968288 is 882869835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71181 + ... + 78387.

It is an arithmetic number, because the mean of its divisors is an integer number (15893640).

Almost surely, 2538968288 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 538968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762894720).

538968288 is an abundant number, since it is smaller than the sum of its proper divisors (986821152).

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

538968288 is a wasteful number, since it uses less digits than its factorization.

538968288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7272 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The square root of 538968288 is about 23215.6905561734. The cubic root of 538968288 is about 813.8063437477.

The spelling of 538968288 in words is "five hundred thirty-eight million, nine hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 456 492 608 656 779 912 984 1312 1558 1824 1968 2337 3116 3936 4674 6232 7207 9348 12464 14414 18696 21621 24928 28828 37392 43242 57656 74784 86484 115312 136933 172968 230624 273866 295487 345936 410799 547732 590974 691872 821598 886461 1095464 1181948 1643196 1772922 2190928 2363896 3286392 3545844 4381856 4727792 5614253 6572784 7091688 9455584 11228506 13145568 14183376 16842759 22457012 28366752 33685518 44914024 67371036 89828048 134742072 179656096 269484144 538968288