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538088640 = 26352931913
BaseRepresentation
bin100000000100101…
…001010011000000
31101111111201211220
4200010221103000
52100222314030
6125221035040
716222451355
oct4004512300
91344451756
10538088640
11256811a61
12130255a80
138762c95b
145166c62c
153238da10
hex201294c0

538088640 has 112 divisors (see below), whose sum is σ = 1715158368. Its totient is φ = 142925824.

The previous prime is 538088597. The next prime is 538088687. The reversal of 538088640 is 46880835.

It is a junction number, because it is equal to n+sod(n) for n = 538088592 and 538088601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280324 + ... + 282236.

It is an arithmetic number, because the mean of its divisors is an integer number (15313914).

Almost surely, 2538088640 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 538088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857579184).

538088640 is an abundant number, since it is smaller than the sum of its proper divisors (1177069728).

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

538088640 is a wasteful number, since it uses less digits than its factorization.

538088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 538088640 is about 23196.7377016683. The cubic root of 538088640 is about 813.3633659668.

The spelling of 538088640 in words is "five hundred thirty-eight million, eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 293 320 480 586 879 960 1172 1465 1758 1913 2344 2930 3516 3826 4395 4688 5739 5860 7032 7652 8790 9376 9565 11478 11720 14064 15304 17580 18752 19130 22956 23440 28128 28695 30608 35160 38260 45912 46880 56256 57390 61216 70320 76520 91824 93760 114780 122432 140640 153040 183648 229560 281280 306080 367296 459120 560509 612160 918240 1121018 1681527 1836480 2242036 2802545 3363054 4484072 5605090 6726108 8407635 8968144 11210180 13452216 16815270 17936288 22420360 26904432 33630540 35872576 44840720 53808864 67261080 89681440 107617728 134522160 179362880 269044320 538088640