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48385932 = 22372196171
BaseRepresentation
bin1011100010010…
…0111110001100
310101001021000120
42320210332030
544341322212
64445024540
71125162600
oct270447614
9111037016
1048385932
1125349081
1214255150
13a04183a
1465d7500
1543ab88c
hex2e24f8c

48385932 has 144 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 12700800.

The previous prime is 48385921. The next prime is 48385937. The reversal of 48385932 is 23958384.

48385932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (48385937) 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 47 ways as a sum of consecutive naturals, for example, 681457 + ... + 681527.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 248385932 is an apocalyptic number.

48385932 is a gapful number since it is divisible by the number (42) 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 48385932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

48385932 is an abundant number, since it is smaller than the sum of its proper divisors (94104948).

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

48385932 is a wasteful number, since it uses less digits than its factorization.

48385932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 48385932 is about 6955.9997124784. Note that the first 3 decimals coincide. The cubic root of 48385932 is about 364.3955266679.

The spelling of 48385932 in words is "forty-eight million, three hundred eighty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 61 71 76 84 98 114 122 133 142 147 183 196 213 228 244 266 284 294 366 399 426 427 497 532 588 732 798 852 854 931 994 1159 1281 1349 1491 1596 1708 1862 1988 2318 2562 2698 2793 2982 2989 3477 3479 3724 4047 4331 4636 5124 5396 5586 5964 5978 6954 6958 8094 8113 8662 8967 9443 10437 11172 11956 12993 13908 13916 16188 16226 17324 17934 18886 20874 24339 25986 28329 30317 32452 35868 37772 41748 48678 51972 56658 56791 60634 66101 82289 90951 97356 113316 113582 121268 132202 164578 170373 181902 198303 212219 227164 246867 264404 329156 340746 363804 396606 424438 493734 576023 636657 681492 793212 848876 987468 1152046 1273314 1728069 2304092 2546628 3456138 4032161 6912276 8064322 12096483 16128644 24192966 48385932