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48654648 = 2333724597
BaseRepresentation
bin1011100110011…
…0100100111000
310101112220122000
42321212210320
544423422043
64454501000
71130362200
oct271464470
9111486560
1048654648
1125511a59
1214364760
13a106c43
146667400
1544112d3
hex2e66938

48654648 has 96 divisors (see below), whose sum is σ = 157251600. Its totient is φ = 13898304.

The previous prime is 48654647. The next prime is 48654673. The reversal of 48654648 is 84645684.

48654648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48654647) 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 23 ways as a sum of consecutive naturals, for example, 8286 + ... + 12882.

Almost surely, 248654648 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 48654648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78625800).

48654648 is an abundant number, since it is smaller than the sum of its proper divisors (108596952).

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

48654648 is a wasteful number, since it uses less digits than its factorization.

48654648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4609 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 48654648 is about 6975.2883811352. The cubic root of 48654648 is about 365.0688504634.

The spelling of 48654648 in words is "forty-eight million, six hundred fifty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 4597 5292 9194 10584 13791 18388 27582 32179 36776 41373 55164 64358 82746 96537 110328 124119 128716 165492 193074 225253 248238 257432 289611 330984 386148 450506 496476 579222 675759 772296 868833 901012 992952 1158444 1351518 1737666 1802024 2027277 2316888 2703036 3475332 4054554 5406072 6081831 6950664 8109108 12163662 16218216 24327324 48654648