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538534272 = 2734753563
BaseRepresentation
bin100000000110010…
…110000110000000
31101112100101010210
4200012112012000
52100331044042
6125234354120
716226315523
oct4006260600
91345311123
10538534272
11256a96851
1213042b940
1387757743
1451746bba
153242aa9c
hex20196180

538534272 has 128 divisors (see below), whose sum is σ = 1491125760. Its totient is φ = 172070912.

The previous prime is 538534267. The next prime is 538534277. The reversal of 538534272 is 272435835.

It is an interprime number because it is at equal distance from previous prime (538534267) and next prime (538534277).

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

It is a super-4 number, since 4×5385342724 (a number of 36 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 538534272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538534277) 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, 956263 + ... + 956825.

It is an arithmetic number, because the mean of its divisors is an integer number (11649420).

Almost surely, 2538534272 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 538534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745562880).

538534272 is an abundant number, since it is smaller than the sum of its proper divisors (952591488).

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

538534272 is a wasteful number, since it uses less digits than its factorization.

538534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 538534272 is about 23206.3412023524. The cubic root of 538534272 is about 813.5878399674.

The spelling of 538534272 in words is "five hundred thirty-eight million, five hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 64 94 96 106 128 141 159 188 192 212 282 318 376 384 424 563 564 636 752 848 1126 1128 1272 1504 1689 1696 2252 2256 2491 2544 3008 3378 3392 4504 4512 4982 5088 6016 6756 6784 7473 9008 9024 9964 10176 13512 14946 18016 18048 19928 20352 26461 27024 29839 29892 36032 39856 52922 54048 59678 59784 72064 79383 79712 89517 105844 108096 119356 119568 158766 159424 179034 211688 216192 238712 239136 317532 318848 358068 423376 477424 478272 635064 716136 846752 954848 956544 1270128 1402433 1432272 1693504 1909696 2540256 2804866 2864544 3387008 3819392 4207299 5080512 5609732 5729088 8414598 10161024 11219464 11458176 16829196 22438928 33658392 44877856 67316784 89755712 134633568 179511424 269267136 538534272