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16440468 = 22311592111
BaseRepresentation
bin111110101101…
…110010010100
31010221021002020
4332231302110
513202043333
61344213140
7256512252
oct76556224
933837066
1016440468
119309a70
12560a1b0
1335381b5
14227d5d2
15169b3b3
hexfadc94

16440468 has 48 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 4895200.

The previous prime is 16440407. The next prime is 16440481. The reversal of 16440468 is 86404461.

It is a super-3 number, since 3×164404683 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6733 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 216440468 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 16440468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

16440468 is an abundant number, since it is smaller than the sum of its proper divisors (26137452).

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

16440468 is a wasteful number, since it uses less digits than its factorization.

16440468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 16440468 is about 4054.6846979759. The cubic root of 16440468 is about 254.2756220257.

The spelling of 16440468 in words is "sixteen million, four hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2111 2596 3894 4222 6333 7788 8444 12666 23221 25332 46442 69663 92884 124549 139326 249098 278652 373647 498196 747294 1370039 1494588 2740078 4110117 5480156 8220234 16440468