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48255984 = 243273977
BaseRepresentation
bin1011100000010…
…1001111110000
310100210122202200
42320011033300
544323142414
64442143200
71124112000
oct270051760
9110718680
1048255984
112526a487
12141b1b00
139cc764a
1465a2000
154383109
hex2e053f0

48255984 has 120 divisors (see below), whose sum is σ = 157653600. Its totient is φ = 13773312.

The previous prime is 48255967. The next prime is 48255989. The reversal of 48255984 is 48955284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48255989) 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, 48904 + ... + 49880.

It is an arithmetic number, because the mean of its divisors is an integer number (1313780).

Almost surely, 248255984 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 48255984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78826800).

48255984 is an abundant number, since it is smaller than the sum of its proper divisors (109397616).

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

48255984 is a wasteful number, since it uses less digits than its factorization.

48255984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 989 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 48255984 is about 6946.6527191159. The cubic root of 48255984 is about 364.0690204423.

The spelling of 48255984 in words is "forty-eight million, two hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 977 1008 1029 1176 1372 1764 1954 2058 2352 2744 2931 3087 3528 3908 4116 5488 5862 6174 6839 7056 7816 8232 8793 11724 12348 13678 15632 16464 17586 20517 23448 24696 27356 35172 41034 46896 47873 49392 54712 61551 70344 82068 95746 109424 123102 140688 143619 164136 191492 246204 287238 328272 335111 382984 430857 492408 574476 670222 765968 861714 984816 1005333 1148952 1340444 1723428 2010666 2297904 2680888 3015999 3446856 4021332 5361776 6031998 6893712 8042664 12063996 16085328 24127992 48255984