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16649928 = 2333194057
BaseRepresentation
bin111111100000…
…111011001000
31011022220102000
4333200323020
513230244203
61352511000
7261344031
oct77407310
934286360
1016649928
119442379
1256ab460
1335ac639
1422d5a88
1516dd4a3
hexfe0ec8

16649928 has 64 divisors (see below), whose sum is σ = 48696000. Its totient is φ = 5256576.

The previous prime is 16649923. The next prime is 16649933. The reversal of 16649928 is 82994661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16649923) and next prime (16649933).

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 (16649923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2076 + ... + 6132.

It is an arithmetic number, because the mean of its divisors is an integer number (760875).

Almost surely, 216649928 is an apocalyptic number.

16649928 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 16649928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24348000).

16649928 is an abundant number, since it is smaller than the sum of its proper divisors (32046072).

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

16649928 is a wasteful number, since it uses less digits than its factorization.

16649928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4081 counting only the distinct ones).

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

The square root of 16649928 is about 4080.4323300356. The cubic root of 16649928 is about 255.3509354999.

The spelling of 16649928 in words is "sixteen million, six hundred forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4057 4104 8114 12171 16228 24342 32456 36513 48684 73026 77083 97368 109539 146052 154166 219078 231249 292104 308332 438156 462498 616664 693747 876312 924996 1387494 1849992 2081241 2774988 4162482 5549976 8324964 16649928