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48087828 = 223211311821
BaseRepresentation
bin1011011101110…
…0001100010100
310100111010002200
42313130030110
544302302303
64434404500
71122511515
oct267341424
9110433080
1048087828
1125165108
1214130730
139c68c49
14655aa0c
15434d3a3
hex2ddc314

48087828 has 36 divisors (see below), whose sum is σ = 122641428. Its totient is φ = 15886080.

The previous prime is 48087821. The next prime is 48087839. The reversal of 48087828 is 82878084.

48087828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3090564 + 44997264 = 1758^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×480878283 (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 (48087821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1843 + ... + 9978.

Almost surely, 248087828 is an apocalyptic number.

It is an amenable number.

48087828 is an abundant number, since it is smaller than the sum of its proper divisors (74553600).

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

48087828 is a wasteful number, since it uses less digits than its factorization.

48087828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 48087828 is about 6934.5387734153. The cubic root of 48087828 is about 363.6456419375.

The spelling of 48087828 in words is "forty-eight million, eighty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 11821 23642 35463 47284 70926 106389 141852 212778 425556 1335773 2671546 4007319 5343092 8014638 12021957 16029276 24043914 48087828