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48660048 = 2433731543
BaseRepresentation
bin1011100110011…
…1111001010000
310101120012001000
42321213321100
544424110143
64454542000
71130414013
oct271477120
9111505030
1048660048
1125516018
1214367900
13a109538
14666937a
154412bd3
hex2e67e50

48660048 has 80 divisors (see below), whose sum is σ = 141677440. Its totient is φ = 15987456.

The previous prime is 48660011. The next prime is 48660061. The reversal of 48660048 is 84006684.

48660048 is a `hidden beast` number, since 4 + 8 + 6 + 600 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48659994 and 48660021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30765 + ... + 32307.

It is an arithmetic number, because the mean of its divisors is an integer number (1770968).

Almost surely, 248660048 is an apocalyptic number.

48660048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48660048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70838720).

48660048 is an abundant number, since it is smaller than the sum of its proper divisors (93017392).

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

48660048 is a wasteful number, since it uses less digits than its factorization.

48660048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48660048 is about 6975.6754511660. The cubic root of 48660048 is about 365.0823558457.

The spelling of 48660048 in words is "forty-eight million, six hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1543 1752 1971 2628 3086 3504 3942 4629 5256 6172 7884 9258 10512 12344 13887 15768 18516 24688 27774 31536 37032 41661 55548 74064 83322 111096 112639 166644 222192 225278 333288 337917 450556 666576 675834 901112 1013751 1351668 1802224 2027502 2703336 3041253 4055004 5406672 6082506 8110008 12165012 16220016 24330024 48660048