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48333978 = 23271143811
BaseRepresentation
bin1011100001100…
…0010010011010
310100221121202100
42320120102122
544333141403
64443544230
71124555250
oct270302232
9110847670
1048333978
1125313040
121422b076
13a023cb4
1465c25d0
15439b2a3
hex2e1849a

48333978 has 96 divisors (see below), whose sum is σ = 133765632. Its totient is φ = 12247200.

The previous prime is 48333973. The next prime is 48333997. The reversal of 48333978 is 87933384.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48333973) 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 47 ways as a sum of consecutive naturals, for example, 59193 + ... + 60003.

It is an arithmetic number, because the mean of its divisors is an integer number (1393392).

Almost surely, 248333978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48333978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66882816).

48333978 is an abundant number, since it is smaller than the sum of its proper divisors (85431654).

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

48333978 is a wasteful number, since it uses less digits than its factorization.

48333978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 877 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 48333978 is about 6952.2642354847. The cubic root of 48333978 is about 364.2650577181.

The spelling of 48333978 in words is "forty-eight million, three hundred thirty-three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 126 129 154 198 231 258 301 387 462 473 602 693 774 811 903 946 1386 1419 1622 1806 2433 2709 2838 3311 4257 4866 5418 5677 6622 7299 8514 8921 9933 11354 14598 17031 17842 19866 26763 29799 34062 34873 51093 53526 59598 62447 69746 80289 102186 104619 124894 160578 187341 209238 244111 313857 374682 383603 488222 562023 627714 732333 767206 1124046 1150809 1464666 2196999 2301618 2685221 3452427 4393998 5370442 6904854 8055663 16111326 24166989 48333978