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48536334 = 2357111297
BaseRepresentation
bin1011100100100…
…1101100001110
310101022220100000
42321021230032
544411130314
64452145130
71126360230
oct271115416
9111286300
1048536334
1125441080
12143081a6
13a095132
146636250
1543db209
hex2e49b0e

48536334 has 96 divisors (see below), whose sum is σ = 136071936. Its totient is φ = 12597120.

The previous prime is 48536311. The next prime is 48536351. The reversal of 48536334 is 43363584.

48536334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 36774 + ... + 38070.

It is an arithmetic number, because the mean of its divisors is an integer number (1417416).

Almost surely, 248536334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48536334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68035968).

48536334 is an abundant number, since it is smaller than the sum of its proper divisors (87535602).

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

48536334 is a wasteful number, since it uses less digits than its factorization.

48536334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 48536334 is about 6966.8022793818. The cubic root of 48536334 is about 364.7726964070.

The spelling of 48536334 in words is "forty-eight million, five hundred thirty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1297 1386 1701 1782 2079 2594 2673 3402 3891 4158 5346 6237 7782 9079 11673 12474 14267 18158 18711 23346 27237 28534 35019 37422 42801 54474 70038 81711 85602 99869 105057 128403 163422 199738 210114 245133 256806 299607 315171 385209 490266 599214 630342 735399 770418 898821 1155627 1470798 1797642 2206197 2311254 2696463 3466881 4412394 5392926 6933762 8089389 16178778 24268167 48536334