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48480576 = 263298707
BaseRepresentation
bin1011100011110…
…0000101000000
310101020001211220
42320330011000
544402334301
64451035040
71126035534
oct270740500
9111201756
1048480576
11254031a1
121429ba80
13a075941
14661dbc4
1543c9936
hex2e3c140

48480576 has 56 divisors (see below), whose sum is σ = 132709920. Its totient is φ = 15601152.

The previous prime is 48480569. The next prime is 48480581. The reversal of 48480576 is 67508484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1215 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (2369820).

Almost surely, 248480576 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 48480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66354960).

48480576 is an abundant number, since it is smaller than the sum of its proper divisors (84229344).

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

48480576 is a wasteful number, since it uses less digits than its factorization.

48480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 48480576 is about 6962.7994370081. The cubic root of 48480576 is about 364.6329606138.

The spelling of 48480576 in words is "forty-eight million, four hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 8707 17414 26121 34828 52242 69656 104484 139312 208968 252503 278624 417936 505006 557248 757509 835872 1010012 1515018 1671744 2020024 3030036 4040048 6060072 8080096 12120144 16160192 24240288 48480576