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48321936 = 24321383311
BaseRepresentation
bin1011100001010…
…1010110010000
310100221000020100
42320111112100
544332300221
64443412400
71124505165
oct270252620
9110830210
1048321936
1125304a93
1214224100
13a01b680
1465bc06c
154397926
hex2e15590

48321936 has 120 divisors (see below), whose sum is σ = 147865536. Its totient is φ = 14641920.

The previous prime is 48321887. The next prime is 48321937. The reversal of 48321936 is 63912384.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48321936.

It is not an unprimeable number, because it can be changed into a prime (48321937) 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, 155221 + ... + 155531.

Almost surely, 248321936 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 48321936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73932768).

48321936 is an abundant number, since it is smaller than the sum of its proper divisors (99543600).

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

48321936 is a wasteful number, since it uses less digits than its factorization.

48321936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 48321936 is about 6951.3981327500. The cubic root of 48321936 is about 364.2348040240.

The spelling of 48321936 in words is "forty-eight million, three hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 83 104 117 144 156 166 208 234 249 311 312 332 468 498 622 624 664 747 933 936 996 1079 1244 1328 1494 1866 1872 1992 2158 2488 2799 2988 3237 3732 3984 4043 4316 4976 5598 5976 6474 7464 8086 8632 9711 11196 11952 12129 12948 14928 16172 17264 19422 22392 24258 25813 25896 32344 36387 38844 44784 48516 51626 51792 64688 72774 77439 77688 97032 103252 145548 154878 155376 194064 206504 232317 291096 309756 335569 413008 464634 582192 619512 671138 929268 1006707 1239024 1342276 1858536 2013414 2684552 3020121 3717072 4026828 5369104 6040242 8053656 12080484 16107312 24160968 48321936