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13417248 = 253132827
BaseRepresentation
bin110011001011…
…101100100000
3221020200000010
4303023230200
511413322443
61155324520
7222021225
oct63135440
927220003
1013417248
117634639
1245b0740
132a1a100
141ad394c
1512a0733
hexccbb20

13417248 has 72 divisors (see below), whose sum is σ = 38184048. Its totient is φ = 4123392.

The previous prime is 13417237. The next prime is 13417307. The reversal of 13417248 is 84271431.

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 15811 + ... + 16637.

It is an arithmetic number, because the mean of its divisors is an integer number (530334).

Almost surely, 213417248 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 13417248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092024).

13417248 is an abundant number, since it is smaller than the sum of its proper divisors (24766800).

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

13417248 is a wasteful number, since it uses less digits than its factorization.

13417248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 13417248 is about 3662.9561831941. The cubic root of 13417248 is about 237.6226395233.

Adding to 13417248 its reverse (84271431), we get a palindrome (97688679).

The spelling of 13417248 in words is "thirteen million, four hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 827 1014 1248 1352 1654 2028 2481 2704 3308 4056 4962 5408 6616 8112 9924 10751 13232 16224 19848 21502 26464 32253 39696 43004 64506 79392 86008 129012 139763 172016 258024 279526 344032 419289 516048 559052 838578 1032096 1118104 1677156 2236208 3354312 4472416 6708624 13417248