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538236384 = 25372313691
BaseRepresentation
bin100000000101001…
…101010111100000
31101111210020111220
4200011031113200
52100242031014
6125224135040
716223635200
oct4005152740
91344706456
10538236384
11256902a64
12130307480
1387681c8a
14516aa400
15323bc6a9
hex2014d5e0

538236384 has 144 divisors (see below), whose sum is σ = 1697020416. Its totient is φ = 148780800.

The previous prime is 538236379. The next prime is 538236403. The reversal of 538236384 is 483632835.

It is a happy number.

It is a super-2 number, since 2×5382363842 = 579396810122790912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143979 + ... + 147669.

It is an arithmetic number, because the mean of its divisors is an integer number (11784864).

Almost surely, 2538236384 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 538236384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848510208).

538236384 is an abundant number, since it is smaller than the sum of its proper divisors (1158784032).

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

538236384 is a wasteful number, since it uses less digits than its factorization.

538236384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3734 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 538236384 is about 23199.9220688346. The cubic root of 538236384 is about 813.4378013860.

The spelling of 538236384 in words is "five hundred thirty-eight million, two hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 3691 4557 4704 5208 6076 6944 7382 9114 10416 11073 12152 14764 18228 20832 22146 24304 25837 29528 36456 44292 48608 51674 59056 72912 77511 88584 103348 114421 118112 145824 155022 177168 180859 206696 228842 310044 343263 354336 361718 413392 457684 542577 620088 686526 723436 800947 826784 915368 1085154 1240176 1373052 1446872 1601894 1830736 2170308 2402841 2480352 2746104 2893744 3203788 3661472 4340616 4805682 5492208 5606629 5787488 6407576 8681232 9611364 10984416 11213258 12815152 16819887 17362464 19222728 22426516 25630304 33639774 38445456 44853032 67279548 76890912 89706064 134559096 179412128 269118192 538236384