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16428825 = 345271961
BaseRepresentation
bin111110101010…
…111100011001
31010220200010000
4332222330121
513201210300
61344043213
7256433310
oct76527431
933820100
1016428825
119301246
125603509
133532aca
142279277
151697c00
hexfaaf19

16428825 has 120 divisors (see below), whose sum is σ = 37209920. Its totient is φ = 6998400.

The previous prime is 16428779. The next prime is 16428829. The reversal of 16428825 is 52882461.

16428825 is a `hidden beast` number, since 1 + 642 + 8 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 16428825 - 214 = 16412441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16428825.

It is not an unprimeable number, because it can be changed into a prime (16428829) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 269295 + ... + 269355.

Almost surely, 216428825 is an apocalyptic number.

16428825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16428825 is an abundant number, since it is smaller than the sum of its proper divisors (20781095).

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

16428825 is a wasteful number, since it uses less digits than its factorization.

16428825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 16428825 is about 4053.2486970330. The cubic root of 16428825 is about 254.2155825707.

The spelling of 16428825 in words is "sixteen million, four hundred twenty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 61 63 75 81 95 105 133 135 171 175 183 189 225 285 305 315 399 405 427 475 513 525 549 567 665 675 855 915 945 1159 1197 1281 1425 1525 1539 1575 1647 1995 2025 2135 2565 2745 2835 3325 3477 3591 3843 4275 4575 4725 4941 5795 5985 6405 7695 8113 8235 9975 10431 10675 10773 11529 12825 13725 14175 17385 17955 19215 24339 24705 28975 29925 31293 32025 34587 38475 40565 41175 52155 53865 57645 73017 86925 89775 93879 96075 121695 123525 156465 172935 202825 219051 260775 269325 288225 365085 469395 608475 657153 782325 864675 1095255 1825425 2346975 3285765 5476275 16428825