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48377560 = 235711113139
BaseRepresentation
bin1011100010001…
…0111011011000
310101000211112111
42320202323120
544341040220
64444522104
71125126310
oct270427330
9111024474
1048377560
1125342860
1214250334
13a03aa9a
1465d4440
1543a915a
hex2e22ed8

48377560 has 128 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 14837760.

The previous prime is 48377543. The next prime is 48377561. The reversal of 48377560 is 6577384.

48377560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48377561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 347971 + ... + 348109.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 248377560 is an apocalyptic number.

48377560 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 48377560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

48377560 is an abundant number, since it is smaller than the sum of its proper divisors (89516840).

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

48377560 is a wasteful number, since it uses less digits than its factorization.

48377560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 48377560 is about 6955.3979037867. The cubic root of 48377560 is about 364.3745088831.

The spelling of 48377560 in words is "forty-eight million, three hundred seventy-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 113 139 140 154 220 226 278 280 308 385 440 452 556 565 616 695 770 791 904 973 1112 1130 1243 1390 1529 1540 1582 1946 2260 2486 2780 3058 3080 3164 3892 3955 4520 4865 4972 5560 6116 6215 6328 7645 7784 7910 8701 9730 9944 10703 12232 12430 15290 15707 15820 17402 19460 21406 24860 30580 31414 31640 34804 38920 42812 43505 49720 53515 61160 62828 69608 78535 85624 87010 107030 109949 125656 157070 172777 174020 214060 219898 314140 345554 348040 428120 439796 549745 628280 691108 863885 879592 1099490 1209439 1382216 1727770 2198980 2418878 3455540 4397960 4837756 6047195 6911080 9675512 12094390 24188780 48377560