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10428228 = 2232377829
BaseRepresentation
bin100111110001…
…111101000100
3201121210211200
4213301331010
510132200403
61011302500
7154431666
oct47617504
921553750
1010428228
115982978
1235aaa30
132211765
141556536
15daeca3
hex9f1f44

10428228 has 36 divisors (see below), whose sum is σ = 27076140. Its totient is φ = 3381696.

The previous prime is 10428199. The next prime is 10428239. The reversal of 10428228 is 82282401.

10428228 is a `hidden beast` number, since 10 + 428 + 228 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 5008644 = 2328^2 + 2238^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2583 + ... + 5246.

It is an arithmetic number, because the mean of its divisors is an integer number (752115).

Almost surely, 210428228 is an apocalyptic number.

10428228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10428228 is an abundant number, since it is smaller than the sum of its proper divisors (16647912).

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

10428228 is a wasteful number, since it uses less digits than its factorization.

10428228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10428228 is about 3229.2766992006. The cubic root of 10428228 is about 218.4758843498.

The spelling of 10428228 in words is "ten million, four hundred twenty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 7829 15658 23487 31316 46974 70461 93948 140922 281844 289673 579346 869019 1158692 1738038 2607057 3476076 5214114 10428228