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16422048 = 253383229
BaseRepresentation
bin111110101001…
…010010100000
31010220022211000
4332221102200
513201001143
61343552000
7256404456
oct76512240
933808730
1016422048
1192a7145
1255bb600
13352c9b6
1422769d6
151695bd3
hexfa94a0

16422048 has 96 divisors (see below), whose sum is σ = 48686400. Its totient is φ = 5384448.

The previous prime is 16422047. The next prime is 16422059. The reversal of 16422048 is 84022461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16422041) 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, 71598 + ... + 71826.

It is an arithmetic number, because the mean of its divisors is an integer number (507150).

Almost surely, 216422048 is an apocalyptic number.

16422048 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 16422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24343200).

16422048 is an abundant number, since it is smaller than the sum of its proper divisors (32264352).

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

16422048 is a wasteful number, since it uses less digits than its factorization.

16422048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 16422048 is about 4052.4126147272. The cubic root of 16422048 is about 254.1806225548.

The spelling of 16422048 in words is "sixteen million, four hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 229 249 288 332 432 458 498 664 687 747 864 916 996 1328 1374 1494 1832 1992 2061 2241 2656 2748 2988 3664 3984 4122 4482 5496 5976 6183 7328 7968 8244 8964 10992 11952 12366 16488 17928 19007 21984 23904 24732 32976 35856 38014 49464 57021 65952 71712 76028 98928 114042 152056 171063 197856 228084 304112 342126 456168 513189 608224 684252 912336 1026378 1368504 1824672 2052756 2737008 4105512 5474016 8211024 16422048