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48128094 = 235724347
BaseRepresentation
bin1011011110011…
…0000001011110
310100120011100000
42313212001132
544310044334
64435315130
71123040100
oct267460136
9110504300
1048128094
1125192393
121414baa6
139c81381
14656b570
15435a299
hex2de605e

48128094 has 144 divisors (see below), whose sum is σ = 131459328. Its totient is φ = 13145328.

The previous prime is 48128063. The next prime is 48128099. The reversal of 48128094 is 49082184.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48128099) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1023979 + ... + 1024025.

It is an arithmetic number, because the mean of its divisors is an integer number (912912).

Almost surely, 248128094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48128094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65729664).

48128094 is an abundant number, since it is smaller than the sum of its proper divisors (83331234).

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

48128094 is a wasteful number, since it uses less digits than its factorization.

48128094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48128094 is about 6937.4414592125. The cubic root of 48128094 is about 363.7471123163.

The spelling of 48128094 in words is "forty-eight million, one hundred twenty-eight thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 47 49 54 63 81 86 94 98 126 129 141 147 162 189 243 258 282 294 301 329 378 387 423 441 486 567 602 658 774 846 882 903 987 1134 1161 1269 1323 1701 1806 1974 2021 2107 2303 2322 2538 2646 2709 2961 3402 3483 3807 3969 4042 4214 4606 5418 5922 6063 6321 6909 6966 7614 7938 8127 8883 10449 11421 11907 12126 12642 13818 14147 16254 17766 18189 18963 20727 20898 22842 23814 24381 26649 28294 36378 37926 41454 42441 48762 53298 54567 56889 62181 73143 79947 84882 99029 109134 113778 124362 127323 146286 159894 163701 170667 186543 198058 254646 297087 327402 341334 373086 381969 491103 512001 559629 594174 763938 891261 982206 1024002 1119258 1145907 1782522 2291814 2673783 3437721 5347566 6875442 8021349 16042698 24064047 48128094