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538305248 = 251323127443
BaseRepresentation
bin100000000101011…
…110001011100000
31101111220201222102
4200011132023200
52100301231443
6125225425532
716224343025
oct4005361340
91344821872
10538305248
1125694a778
1213033b2a8
13876a7420
14516c754c
15323d2cb8
hex2015e2e0

538305248 has 96 divisors (see below), whose sum is σ = 1203019776. Its totient is φ = 235243008.

The previous prime is 538305239. The next prime is 538305281. The reversal of 538305248 is 842503835.

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 15 ways as a sum of consecutive naturals, for example, 1214915 + ... + 1215357.

It is an arithmetic number, because the mean of its divisors is an integer number (12531456).

Almost surely, 2538305248 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 538305248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601509888).

538305248 is an abundant number, since it is smaller than the sum of its proper divisors (664714528).

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

538305248 is a wasteful number, since it uses less digits than its factorization.

538305248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 538305248 is about 23201.4061642824. The cubic root of 538305248 is about 813.4724913435.

The spelling of 538305248 in words is "five hundred thirty-eight million, three hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 127 184 208 254 299 368 416 443 508 598 736 886 1016 1196 1651 1772 2032 2392 2921 3302 3544 4064 4784 5759 5842 6604 7088 9568 10189 11518 11684 13208 14176 20378 23036 23368 26416 37973 40756 46072 46736 52832 56261 75946 81512 92144 93472 112522 132457 151892 163024 184288 225044 264914 303784 326048 450088 529828 607568 731393 900176 1059656 1215136 1294003 1462786 1800352 2119312 2588006 2925572 4238624 5176012 5851144 10352024 11702288 16822039 20704048 23404576 33644078 41408096 67288156 134576312 269152624 538305248