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428166468 = 2232103115471
BaseRepresentation
bin11001100001010…
…100110101000100
31002211200002222100
4121201110311010
51334102311333
6110253032100
713416232512
oct3141246504
91084602870
10428166468
111aa763894
12bb485630
136a923b52
1440c174b2
15278c9213
hex19854d44

428166468 has 36 divisors (see below), whose sum is σ = 1092827008. Its totient is φ = 141335280.

The previous prime is 428166433. The next prime is 428166509. The reversal of 428166468 is 864661824.

428166468 is a `hidden beast` number, since 4 + 28 + 166 + 468 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54028 + ... + 61443.

Almost surely, 2428166468 is an apocalyptic number.

It is an amenable number.

428166468 is an abundant number, since it is smaller than the sum of its proper divisors (664660540).

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

428166468 is a wasteful number, since it uses less digits than its factorization.

428166468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115584 (or 115579 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 428166468 is about 20692.1837416934. The cubic root of 428166468 is about 753.7098959711.

It can be divided in two parts, 42816 and 6468, that added together give a square (49284 = 2222).

The spelling of 428166468 in words is "four hundred twenty-eight million, one hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 115471 230942 346413 461884 692826 1039239 1385652 2078478 4156956 11893513 23787026 35680539 47574052 71361078 107041617 142722156 214083234 428166468