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538982016 = 2735371373
BaseRepresentation
bin100000001000000…
…011011010000000
31101120012010022220
4200020003122000
52100434411031
6125252131040
716233162066
oct4010033200
91346163286
10538982016
11257272191
12130606a80
1387883491
1451822036
15324b8596
hex20203680

538982016 has 128 divisors (see below), whose sum is σ = 1483194240. Its totient is φ = 173322240.

The previous prime is 538981973. The next prime is 538982033. The reversal of 538982016 is 610289835.

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

It is a super-2 number, since 2×5389820162 = 581003227142848512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444806 + ... + 1445178.

It is an arithmetic number, because the mean of its divisors is an integer number (11587455).

Almost surely, 2538982016 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 538982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741597120).

538982016 is an abundant number, since it is smaller than the sum of its proper divisors (944212224).

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

538982016 is a wasteful number, since it uses less digits than its factorization.

538982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 538982016 is about 23215.9862163984. The cubic root of 538982016 is about 813.8132531453.

The spelling of 538982016 in words is "five hundred thirty-eight million, nine hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 71 96 106 128 142 159 192 212 213 284 318 373 384 424 426 568 636 746 848 852 1119 1136 1272 1492 1696 1704 2238 2272 2544 2984 3392 3408 3763 4476 4544 5088 5968 6784 6816 7526 8952 9088 10176 11289 11936 13632 15052 17904 19769 20352 22578 23872 26483 27264 30104 35808 39538 45156 47744 52966 59307 60208 71616 79076 79449 90312 105932 118614 120416 143232 158152 158898 180624 211864 237228 240832 316304 317796 361248 423728 474456 481664 632608 635592 722496 847456 948912 1265216 1271184 1403599 1444992 1694912 1897824 2530432 2542368 2807198 3389824 3795648 4210797 5084736 5614396 7591296 8421594 10169472 11228792 16843188 22457584 33686376 44915168 67372752 89830336 134745504 179660672 269491008 538982016