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48065238 = 2341329787
BaseRepresentation
bin1011011101011…
…0101011010110
310100102222010000
42313112223112
544301041423
64434112130
71122355614
oct267265326
9110388100
1048065238
112514a141
121411b646
139c5b890
1465526b4
154346843
hex2dd6ad6

48065238 has 80 divisors (see below), whose sum is σ = 120138480. Its totient is φ = 14261184.

The previous prime is 48065233. The next prime is 48065249. The reversal of 48065238 is 83256084.

It is a super-3 number, since 3×480652383 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48065233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60681 + ... + 61467.

It is an arithmetic number, because the mean of its divisors is an integer number (1501731).

Almost surely, 248065238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48065238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60069240).

48065238 is an abundant number, since it is smaller than the sum of its proper divisors (72073242).

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

48065238 is a wasteful number, since it uses less digits than its factorization.

48065238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48065238 is about 6932.9097787293. The cubic root of 48065238 is about 363.5886902995.

It can be divided in two parts, 480652 and 38, that added together give a triangular number (480690 = T980).

The spelling of 48065238 in words is "forty-eight million, sixty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 522 702 754 783 787 1053 1131 1566 1574 2106 2262 2349 2361 3393 4698 4722 6786 7083 10179 10231 14166 20358 20462 21249 22823 30537 30693 42498 45646 61074 61386 63747 68469 92079 127494 136938 184158 205407 276237 296699 410814 552474 593398 616221 828711 890097 1232442 1657422 1780194 1848663 2670291 3697326 5340582 8010873 16021746 24032619 48065238