Search a number
-
+
48548544 = 26311127181
BaseRepresentation
bin1011100100110…
…0101011000000
310101100112002020
42321030223000
544412023134
64452321440
71126440642
oct271145300
9111315066
1048548544
112544a270
1214313280
13a09a865
14663a892
1543deb49
hex2e4cac0

48548544 has 112 divisors (see below), whose sum is σ = 142012416. Its totient is φ = 14515200.

The previous prime is 48548537. The next prime is 48548567. The reversal of 48548544 is 44584584.

It is a super-2 number, since 2×485485442 = 4713922249039872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48548496 and 48548505.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 268134 + ... + 268314.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 248548544 is an apocalyptic number.

48548544 is a gapful number since it is divisible by the number (44) 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 48548544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71006208).

48548544 is an abundant number, since it is smaller than the sum of its proper divisors (93463872).

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

48548544 is a wasteful number, since it uses less digits than its factorization.

48548544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The square root of 48548544 is about 6967.6785230089. The cubic root of 48548544 is about 364.8032817495.

The spelling of 48548544 in words is "forty-eight million, five hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 132 176 181 192 254 264 352 362 381 508 528 543 704 724 762 1016 1056 1086 1397 1448 1524 1991 2032 2112 2172 2794 2896 3048 3982 4064 4191 4344 5588 5792 5973 6096 7964 8128 8382 8688 11176 11584 11946 12192 15928 16764 17376 22352 22987 23892 24384 31856 33528 34752 44704 45974 47784 63712 67056 68961 89408 91948 95568 127424 134112 137922 183896 191136 252857 268224 275844 367792 382272 505714 551688 735584 758571 1011428 1103376 1471168 1517142 2022856 2206752 3034284 4045712 4413504 6068568 8091424 12137136 16182848 24274272 48548544