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48733048 = 23721373131
BaseRepresentation
bin1011100111100…
…1101101111000
310101200220011201
42321321231320
544433424143
64500303544
71131136600
oct271715570
9111626151
1048733048
1125565951
12143a1bb4
13a133830
146687c00
15442964d
hex2e79b78

48733048 has 96 divisors (see below), whose sum is σ = 116922960. Its totient is φ = 18869760.

The previous prime is 48733039. The next prime is 48733049. The reversal of 48733048 is 84033784.

It is a junction number, because it is equal to n+sod(n) for n = 48732998 and 48733016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48733049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371943 + ... + 372073.

Almost surely, 248733048 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 48733048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58461480).

48733048 is an abundant number, since it is smaller than the sum of its proper divisors (68189912).

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

48733048 is a wasteful number, since it uses less digits than its factorization.

48733048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 48733048 is about 6980.9059583982. The cubic root of 48733048 is about 365.2648306332.

It can be divided in two parts, 4873 and 3048, that added together give a square (7921 = 892).

The spelling of 48733048 in words is "forty-eight million, seven hundred thirty-three thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 131 146 182 196 262 292 364 392 511 524 584 637 728 917 949 1022 1048 1274 1703 1834 1898 2044 2548 3406 3577 3668 3796 4088 5096 6419 6643 6812 7154 7336 7592 9563 11921 12838 13286 13624 14308 19126 23842 25676 26572 28616 38252 46501 47684 51352 53144 66941 76504 83447 93002 95368 124319 133882 166894 186004 248638 267764 333788 372008 468587 497276 535528 667576 870233 937174 994552 1740466 1874348 3480932 3748696 6091631 6961864 12183262 24366524 48733048