Search a number
-
+
48391056 = 2432761787
BaseRepresentation
bin1011100010011…
…0001110010000
310101001112001100
42320212032100
544342003211
64445104400
71125213540
oct270461620
9111045040
1048391056
1125351a0a
1214258100
13a043c7c
1465d9320
1543ad156
hex2e26390

48391056 has 120 divisors (see below), whose sum is σ = 157511744. Its totient is φ = 13582080.

The previous prime is 48391051. The next prime is 48391073. The reversal of 48391056 is 65019384.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48391056.

It is not an unprimeable number, because it can be changed into a prime (48391051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61095 + ... + 61881.

Almost surely, 248391056 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 48391056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78755872).

48391056 is an abundant number, since it is smaller than the sum of its proper divisors (109120688).

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

48391056 is a wasteful number, since it uses less digits than its factorization.

48391056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 48391056 is about 6956.3680178668. The cubic root of 48391056 is about 364.4083891997.

The spelling of 48391056 in words is "forty-eight million, three hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 549 732 787 854 976 1008 1098 1281 1464 1574 1708 2196 2361 2562 2928 3148 3416 3843 4392 4722 5124 5509 6296 6832 7083 7686 8784 9444 10248 11018 12592 14166 15372 16527 18888 20496 22036 28332 30744 33054 37776 44072 48007 49581 56664 61488 66108 88144 96014 99162 113328 132216 144021 192028 198324 264432 288042 336049 384056 396648 432063 576084 672098 768112 793296 864126 1008147 1152168 1344196 1728252 2016294 2304336 2688392 3024441 3456504 4032588 5376784 6048882 6913008 8065176 12097764 16130352 24195528 48391056