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48065076 = 22341091361
BaseRepresentation
bin1011011101011…
…0101000110100
310100102221220000
42313112220310
544301040301
64434111300
71122355263
oct267265064
9110387800
1048065076
112514a004
121411b530
139c5b797
1465525da
154346786
hex2dd6a34

48065076 has 60 divisors (see below), whose sum is σ = 126897540. Its totient is φ = 15863040.

The previous prime is 48065071. The next prime is 48065077. The reversal of 48065076 is 67056084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 27815076 = 4500^2 + 5274^2 .

It is a super-3 number, since 3×480650763 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48065076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48065071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34636 + ... + 35996.

It is an arithmetic number, because the mean of its divisors is an integer number (2114959).

Almost surely, 248065076 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 48065076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63448770).

48065076 is an abundant number, since it is smaller than the sum of its proper divisors (78832464).

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

48065076 is a wasteful number, since it uses less digits than its factorization.

48065076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 48065076 is about 6932.8980953134. The cubic root of 48065076 is about 363.5882818169.

It can be divided in two parts, 480 and 65076, that added together give a palindrome (65556).

The spelling of 48065076 in words is "forty-eight million, sixty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1361 1962 2722 2943 3924 4083 5444 5886 8166 8829 11772 12249 16332 17658 24498 35316 36747 48996 73494 110241 146988 148349 220482 296698 440964 445047 593396 890094 1335141 1780188 2670282 4005423 5340564 8010846 12016269 16021692 24032538 48065076