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412027028 = 227177910957
BaseRepresentation
bin11000100011110…
…000100010010100
31001201022010211022
4120203300202110
51320434331103
6104515100312
713132112660
oct3043604224
91051263738
10412027028
111a1640006
12b5ba1698
136749299a
143ca158a0
152628c138
hex188f0894

412027028 has 48 divisors (see below), whose sum is σ = 883653120. Its totient is φ = 164077056.

The previous prime is 412026973. The next prime is 412027039. The reversal of 412027028 is 820720214.

It is a junction number, because it is equal to n+sod(n) for n = 412026988 and 412027006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32126 + ... + 43082.

It is an arithmetic number, because the mean of its divisors is an integer number (18409440).

Almost surely, 2412027028 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 412027028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441826560).

412027028 is an abundant number, since it is smaller than the sum of its proper divisors (471626092).

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

412027028 is a wasteful number, since it uses less digits than its factorization.

412027028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11064 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 412027028 is about 20298.4489062588. The cubic root of 412027028 is about 744.1181572274.

The spelling of 412027028 in words is "four hundred twelve million, twenty-seven thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 79 119 158 238 316 476 553 1106 1343 2212 2686 5372 9401 10957 18802 21914 37604 43828 76699 153398 186269 306796 372538 745076 865603 1303883 1731206 2607766 3462412 5215532 6059221 12118442 14715251 24236884 29430502 58861004 103006757 206013514 412027028