Search a number
-
+
48578588982 = 232711229109873
BaseRepresentation
bin101101001111100000…
…100111000100110110
311122101112012000021100
4231033200213010312
51243442104321412
634152223430530
73336552123210
oct551740470466
9148345160240
1048578588982
111966938aa00
1294b8a55446
134772435811
1424cba475b0
1513e4bc0edc
hexb4f827136

48578588982 has 144 divisors (see below), whose sum is σ = 136779945120. Its totient is φ = 12182607360.

The previous prime is 48578588951. The next prime is 48578589013. The reversal of 48578588982 is 28988587584.

48578588982 is a `hidden beast` number, since 48 + 578 + 5 + 8 + 8 + 9 + 8 + 2 = 666.

48578588982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48578588951) and next prime (48578589013).

It is a self number, because there is not a number n which added to its sum of digits gives 48578588982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387198 + ... + 497070.

It is an arithmetic number, because the mean of its divisors is an integer number (949860730).

Almost surely, 248578588982 is an apocalyptic number.

48578588982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48578588982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68389972560).

48578588982 is an abundant number, since it is smaller than the sum of its proper divisors (88201356138).

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

48578588982 is a wasteful number, since it uses less digits than its factorization.

48578588982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109939 (or 109925 counting only the distinct ones).

The product of its digits is 412876800, while the sum is 72.

The spelling of 48578588982 in words is "forty-eight billion, five hundred seventy-eight million, five hundred eighty-eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 121 126 154 174 198 203 231 242 261 319 363 406 462 522 609 638 693 726 847 957 1089 1218 1386 1694 1827 1914 2178 2233 2541 2871 3509 3654 4466 5082 5742 6699 7018 7623 10527 13398 15246 20097 21054 24563 31581 40194 49126 63162 73689 109873 147378 219746 221067 329619 442134 659238 769111 988857 1208603 1538222 1977714 2307333 2417206 3186317 3625809 4614666 6372634 6921999 7251618 8460221 9558951 10877427 13294633 13843998 16920442 19117902 21754854 22304219 25380663 26589266 28676853 35049487 39883899 44608438 50761326 57353706 66912657 70098974 76141989 79767798 93062431 105148461 119651697 133825314 152283978 186124862 200737971 210296922 239303394 245346409 279187293 315445383 385544357 401475942 490692818 558374586 630890766 736039227 771088714 837561879 1156633071 1472078454 1675123758 2208117681 2313266142 2698810499 3469899213 4416235362 5397620998 6939798426 8096431497 16192862994 24289294491 48578588982