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10542448 = 247317113
BaseRepresentation
bin101000001101…
…110101110000
3201211121112001
4220031311300
510144324243
61013543344
7155416000
oct50156560
921747461
1010542448
115a50774
123644b54
132251747
141586000
15dd3a4d
hexa0dd70

10542448 has 80 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 4214784.

The previous prime is 10542443. The next prime is 10542451. The reversal of 10542448 is 84424501.

It is a super-2 number, since 2×105424482 = 222286419665408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542443) 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 15 ways as a sum of consecutive naturals, for example, 93240 + ... + 93352.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 210542448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

10542448 is an abundant number, since it is smaller than the sum of its proper divisors (14902352).

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

10542448 is a wasteful number, since it uses less digits than its factorization.

10542448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 10542448 is about 3246.9136114162. The cubic root of 10542448 is about 219.2706425127.

Adding to 10542448 its reverse (84424501), we get a palindrome (94966949).

The spelling of 10542448 in words is "ten million, five hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 113 119 136 196 226 238 272 343 392 452 476 686 784 791 833 904 952 1372 1582 1666 1808 1904 1921 2744 3164 3332 3842 5488 5537 5831 6328 6664 7684 11074 11662 12656 13328 13447 15368 22148 23324 26894 30736 38759 44296 46648 53788 77518 88592 93296 94129 107576 155036 188258 215152 310072 376516 620144 658903 753032 1317806 1506064 2635612 5271224 10542448