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48216080 = 24511217293
BaseRepresentation
bin1011011111101…
…1100000010000
310100201122000202
42313323200100
544320403310
64441234332
71123554443
oct267734020
9110648022
1048216080
1125242500
12141929a8
139cb2433
14659165a
1543763a5
hex2dfb810

48216080 has 120 divisors (see below), whose sum is σ = 130913496. Its totient is φ = 16445440.

The previous prime is 48216079. The next prime is 48216101. The reversal of 48216080 is 8061284.

48216080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22165264 + 26050816 = 4708^2 + 5104^2 .

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 23 ways as a sum of consecutive naturals, for example, 164414 + ... + 164706.

Almost surely, 248216080 is an apocalyptic number.

48216080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48216080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65456748).

48216080 is an abundant number, since it is smaller than the sum of its proper divisors (82697416).

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

48216080 is a wasteful number, since it uses less digits than its factorization.

48216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48216080 is about 6943.7799504305. The cubic root of 48216080 is about 363.9686403769.

It can be divided in two parts, 4821 and 6080, that added together give a palindrome (10901).

The spelling of 48216080 in words is "forty-eight million, two hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 121 136 170 176 187 220 242 272 293 340 374 440 484 586 605 680 748 880 935 968 1172 1210 1360 1465 1496 1870 1936 2057 2344 2420 2930 2992 3223 3740 4114 4688 4840 4981 5860 6446 7480 8228 9680 9962 10285 11720 12892 14960 16115 16456 19924 20570 23440 24905 25784 32230 32912 35453 39848 41140 49810 51568 54791 64460 70906 79696 82280 99620 109582 128920 141812 164560 177265 199240 219164 257840 273955 283624 354530 398480 438328 547910 567248 602701 709060 876656 1095820 1205402 1418120 2191640 2410804 2836240 3013505 4383280 4821608 6027010 9643216 12054020 24108040 48216080