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538119040 = 27523139263
BaseRepresentation
bin100000000100110…
…000101110000000
31101111120021112211
4200010300232000
52100224302130
6125221431504
716222636114
oct4004605600
91344507484
10538119040
11256832888
1213026b594
1387640744
1451679744
1532397a2a
hex20130b80

538119040 has 128 divisors (see below), whose sum is σ = 1357171200. Its totient is φ = 203630592.

The previous prime is 538119031. The next prime is 538119047. The reversal of 538119040 is 40911835.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 538118993 and 538119011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538119047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045949 + ... + 2046211.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2538119040 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 538119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

538119040 is an abundant number, since it is smaller than the sum of its proper divisors (819052160).

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

538119040 is a wasteful number, since it uses less digits than its factorization.

538119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 538119040 is about 23197.3929569682. The cubic root of 538119040 is about 813.3786830099.

The spelling of 538119040 in words is "five hundred thirty-eight million, one hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 139 160 184 230 263 278 320 368 460 526 556 640 695 736 920 1052 1112 1315 1390 1472 1840 2104 2224 2630 2780 2944 3197 3680 4208 4448 5260 5560 6049 6394 7360 8416 8896 10520 11120 12098 12788 14720 15985 16832 17792 21040 22240 24196 25576 30245 31970 33664 36557 42080 44480 48392 51152 60490 63940 73114 84160 88960 96784 102304 120980 127880 146228 168320 182785 193568 204608 241960 255760 292456 365570 387136 409216 483920 511520 584912 731140 774272 840811 967840 1023040 1169824 1462280 1681622 1935680 2046080 2339648 2924560 3363244 3871360 4204055 4679296 5849120 6726488 8408110 11698240 13452976 16816220 23396480 26905952 33632440 53811904 67264880 107623808 134529760 269059520 538119040