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48531560 = 23572112251
BaseRepresentation
bin1011100100100…
…0100001101000
310101022122210012
42321020201220
544411002220
64452111052
71126340300
oct271104150
9111278705
1048531560
1125438530
1214305488
13a092bcc
146634600
1543d9ac5
hex2e48868

48531560 has 96 divisors (see below), whose sum is σ = 138633120. Its totient is φ = 15120000.

The previous prime is 48531559. The next prime is 48531569. The reversal of 48531560 is 6513584.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (48531569) 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, 20435 + ... + 22685.

It is an arithmetic number, because the mean of its divisors is an integer number (1444095).

Almost surely, 248531560 is an apocalyptic number.

48531560 is a gapful number since it is divisible by the number (40) 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 48531560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69316560).

48531560 is an abundant number, since it is smaller than the sum of its proper divisors (90101560).

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

48531560 is a wasteful number, since it uses less digits than its factorization.

48531560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 48531560 is about 6966.4596460469. The cubic root of 48531560 is about 364.7607364188.

The spelling of 48531560 in words is "forty-eight million, five hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2251 2695 3080 4312 4502 5390 9004 10780 11255 15757 18008 21560 22510 24761 31514 45020 49522 63028 78785 90040 99044 110299 123805 126056 157570 173327 198088 220598 247610 315140 346654 441196 495220 551495 630280 693308 866635 882392 990440 1102990 1213289 1386616 1733270 2205980 2426578 3466540 4411960 4853156 6066445 6933080 9706312 12132890 24265780 48531560