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16628868 = 2233791949
BaseRepresentation
bin111111011011…
…110010000100
31011021211112000
4333123302010
513224110433
61352225300
7261225444
oct77336204
934254460
1016628868
119428573
12569b230
1335a2b89
1422cc124
1516d7113
hexfdbc84

16628868 has 48 divisors (see below), whose sum is σ = 43680000. Its totient is φ = 5469984.

The previous prime is 16628863. The next prime is 16628893. The reversal of 16628868 is 86882661.

16628868 is a `hidden beast` number, since 16 + 628 + 8 + 6 + 8 = 666.

It is a super-2 number, since 2×166288682 = 553038501922848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16628863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7558 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (910000).

Almost surely, 216628868 is an apocalyptic number.

16628868 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 16628868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840000).

16628868 is an abundant number, since it is smaller than the sum of its proper divisors (27051132).

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

16628868 is a wasteful number, since it uses less digits than its factorization.

16628868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2033 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 16628868 is about 4077.8509045820. The cubic root of 16628868 is about 255.2432281341.

The spelling of 16628868 in words is "sixteen million, six hundred twenty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 1949 2133 2844 3898 4266 5847 7796 8532 11694 17541 23388 35082 52623 70164 105246 153971 210492 307942 461913 615884 923826 1385739 1847652 2771478 4157217 5542956 8314434 16628868