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412986028 = 227135711987
BaseRepresentation
bin11000100111011…
…010101010101100
31001210002212022211
4120213122222230
51321211023103
6104551420204
713143215620
oct3047325254
91053085284
10412986028
111a2135574
12b6384664
136773a340
143cbc5180
15263cb36d
hex189daaac

412986028 has 48 divisors (see below), whose sum is σ = 891514624. Its totient is φ = 163010880.

The previous prime is 412986011. The next prime is 412986047. The reversal of 412986028 is 820689214.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206851 + ... + 208837.

Almost surely, 2412986028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412986028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445757312).

412986028 is an abundant number, since it is smaller than the sum of its proper divisors (478528596).

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

412986028 is a wasteful number, since it uses less digits than its factorization.

412986028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 412986028 is about 20322.0576714072. The cubic root of 412986028 is about 744.6950258413.

The spelling of 412986028 in words is "four hundred twelve million, nine hundred eighty-six thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 571 1142 1987 2284 3974 3997 7423 7948 7994 13909 14846 15988 25831 27818 29692 51662 51961 55636 103324 103922 180817 207844 361634 723268 1134577 2269154 4538308 7942039 14749501 15884078 29499002 31768156 58998004 103246507 206493014 412986028