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48873968 = 24111341521
BaseRepresentation
bin1011101001110…
…0000111110000
310101222001110222
42322130013300
5100002431333
64503312212
71132264463
oct272340760
9111861428
1048873968
1125651810
121444b668
13a182a10
1466c32da
154456298
hex2e9c1f0

48873968 has 80 divisors (see below), whose sum is σ = 114180192. Its totient is φ = 19968000.

The previous prime is 48873953. The next prime is 48873971. The reversal of 48873968 is 86937884.

It is a happy number.

48873968 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 15 ways as a sum of consecutive naturals, for example, 93548 + ... + 94068.

Almost surely, 248873968 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 48873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57090096).

48873968 is an abundant number, since it is smaller than the sum of its proper divisors (65306224).

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

48873968 is a wasteful number, since it uses less digits than its factorization.

48873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 48873968 is about 6990.9919181758. The cubic root of 48873968 is about 365.6165672003.

The spelling of 48873968 in words is "forty-eight million, eight hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 164 176 208 286 328 451 521 533 572 656 902 1042 1066 1144 1804 2084 2132 2288 3608 4168 4264 5731 5863 6773 7216 8336 8528 11462 11726 13546 21361 22924 23452 27092 42722 45848 46904 54184 74503 85444 91696 93808 108368 149006 170888 234971 277693 298012 341776 469942 555386 596024 939884 1110772 1192048 1879768 2221544 3054623 3759536 4443088 6109246 12218492 24436984 48873968