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48768156 = 2235131383
BaseRepresentation
bin1011101000001…
…0010010011100
310101202200100000
42322002102130
544441040111
64501134300
71131344133
oct272022234
9111680300
1048768156
112558a268
12143ba390
13a1467c8
14669691a
154434c56
hex2e8249c

48768156 has 72 divisors (see below), whose sum is σ = 129153024. Its totient is φ = 16089840.

The previous prime is 48768151. The next prime is 48768157. The reversal of 48768156 is 65186784.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48768151) 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, 127141 + ... + 127523.

It is an arithmetic number, because the mean of its divisors is an integer number (1793792).

Almost surely, 248768156 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 48768156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64576512).

48768156 is an abundant number, since it is smaller than the sum of its proper divisors (80384868).

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

48768156 is a wasteful number, since it uses less digits than its factorization.

48768156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48768156 is about 6983.4200790157. The cubic root of 48768156 is about 365.3525236188.

The spelling of 48768156 in words is "forty-eight million, seven hundred sixty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 243 262 324 383 393 486 524 766 786 972 1149 1179 1532 1572 2298 2358 3447 3537 4596 4716 6894 7074 10341 10611 13788 14148 20682 21222 31023 31833 41364 42444 50173 62046 63666 93069 100346 124092 127332 150519 186138 200692 301038 372276 451557 602076 903114 1354671 1806228 2709342 4064013 5418684 8128026 12192039 16256052 24384078 48768156