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16994448 = 24363147
BaseRepresentation
bin100000011010…
…1000010010000
31011222102000000
41000311002100
513322310243
61404130000
7264310332
oct100650220
934872000
1016994448
1196581a9
125836900
1336a03b3
142385452
15175a5d3
hex1035090

16994448 has 140 divisors (see below), whose sum is σ = 52044288. Its totient is φ = 5365440.

The previous prime is 16994437. The next prime is 16994449. The reversal of 16994448 is 84449961.

It is a super-2 number, since 2×169944482 = 577622525649408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16994449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 361561 + ... + 361607.

Almost surely, 216994448 is an apocalyptic number.

16994448 is a gapful number since it is divisible by the number (18) 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 16994448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26022144).

16994448 is an abundant number, since it is smaller than the sum of its proper divisors (35049840).

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

16994448 is an equidigital number, since it uses as much as digits as its factorization.

16994448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16994448 is about 4122.4322917423. The cubic root of 16994448 is about 257.1001643408.

The spelling of 16994448 in words is "sixteen million, nine hundred ninety-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 47 48 54 62 72 81 93 94 108 124 141 144 162 186 188 216 243 248 279 282 324 372 376 423 432 486 496 558 564 648 729 744 752 837 846 972 1116 1128 1269 1296 1457 1458 1488 1674 1692 1944 2232 2256 2511 2538 2914 2916 3348 3384 3807 3888 4371 4464 5022 5076 5828 5832 6696 6768 7533 7614 8742 10044 10152 11421 11656 11664 13113 13392 15066 15228 17484 20088 20304 22599 22842 23312 26226 30132 30456 34263 34968 39339 40176 45198 45684 52452 60264 60912 68526 69936 78678 90396 91368 104904 118017 120528 137052 157356 180792 182736 209808 236034 274104 314712 354051 361584 472068 548208 629424 708102 944136 1062153 1416204 1888272 2124306 2832408 4248612 5664816 8497224 16994448