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16249968 = 24327447
BaseRepresentation
bin111101111111…
…010001110000
31010120120202200
4331333101300
513124444333
61340143200
7255060000
oct75772160
933516680
1016249968
119199929
125537b00
13349c587
142230000
15165ec13
hexf7f470

16249968 has 150 divisors (see below), whose sum is σ = 54182544. Its totient is φ = 4544064.

The previous prime is 16249963. The next prime is 16250009. The reversal of 16249968 is 86994261.

It is a happy number.

It is a super-2 number, since 2×162499682 = 528122920002048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16249963) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345721 + ... + 345767.

Almost surely, 216249968 is an apocalyptic number.

16249968 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 16249968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091272).

16249968 is an abundant number, since it is smaller than the sum of its proper divisors (37932576).

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

16249968 is an equidigital number, since it uses as much as digits as its factorization.

16249968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 16249968 is about 4031.1249050358. The cubic root of 16249968 is about 253.2896846929.

The spelling of 16249968 in words is "sixteen million, two hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 49 56 63 72 84 94 98 112 126 141 144 147 168 188 196 252 282 294 329 336 343 376 392 423 441 504 564 588 658 686 752 784 846 882 987 1008 1029 1128 1176 1316 1372 1692 1764 1974 2058 2256 2303 2352 2401 2632 2744 2961 3087 3384 3528 3948 4116 4606 4802 5264 5488 5922 6174 6768 6909 7056 7203 7896 8232 9212 9604 11844 12348 13818 14406 15792 16121 16464 18424 19208 20727 21609 23688 24696 27636 28812 32242 36848 38416 41454 43218 47376 48363 49392 55272 57624 64484 82908 86436 96726 110544 112847 115248 128968 145089 165816 172872 193452 225694 257936 290178 331632 338541 345744 386904 451388 580356 677082 773808 902776 1015623 1160712 1354164 1805552 2031246 2321424 2708328 4062492 5416656 8124984 16249968