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48435948 = 22331140771
BaseRepresentation
bin1011100011000…
…1001011101100
310101010210122000
42320301023230
544344422243
64450052300
71125461451
oct270611354
9111123560
1048435948
1125382710
121427a090
13a05b532
14660b828
1543bb5d3
hex2e312ec

48435948 has 48 divisors (see below), whose sum is σ = 136993920. Its totient is φ = 14677200.

The previous prime is 48435929. The next prime is 48435949. The reversal of 48435948 is 84953484.

It is a happy number.

48435948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48435949) 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 15 ways as a sum of consecutive naturals, for example, 19198 + ... + 21573.

It is an arithmetic number, because the mean of its divisors is an integer number (2854040).

Almost surely, 248435948 is an apocalyptic number.

It is an amenable number.

48435948 is an abundant number, since it is smaller than the sum of its proper divisors (88557972).

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

48435948 is a wasteful number, since it uses less digits than its factorization.

48435948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40795 (or 40787 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 48435948 is about 6959.5939536729. The cubic root of 48435948 is about 364.5210406320.

The spelling of 48435948 in words is "forty-eight million, four hundred thirty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 40771 81542 122313 163084 244626 366939 448481 489252 733878 896962 1100817 1345443 1467756 1793924 2201634 2690886 4036329 4403268 5381772 8072658 12108987 16145316 24217974 48435948