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1028436957 = 32277741149
BaseRepresentation
bin111101010011001…
…011001111011101
32122200012000021200
4331103023033131
54101234440312
6250014550113
734325366322
oct7523131735
92580160250
101028436957
114885869a9
12248508339
131350b58a2
149a830b49
156044c0dc
hex3d4cb3dd

1028436957 has 12 divisors (see below), whose sum is σ = 1486091100. Its totient is φ = 685361088.

The previous prime is 1028436949. The next prime is 1028436961. The reversal of 1028436957 is 7596348201.

1028436957 is a `hidden beast` number, since 1 + 0 + 284 + 369 + 5 + 7 = 666.

1028436957 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 132572196 + 895864761 = 11514^2 + 29931^2 .

It is not a de Polignac number, because 1028436957 - 23 = 1028436949 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

1028436957 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028436967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4419 + ... + 45567.

It is an arithmetic number, because the mean of its divisors is an integer number (123840925).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1028436957 = 2056873914, but 3⋅1028436957 = 3085310871 is not.

Almost surely, 21028436957 is an apocalyptic number.

It is an amenable number.

1028436957 is a deficient number, since it is larger than the sum of its proper divisors (457654143).

1028436957 is a wasteful number, since it uses less digits than its factorization.

1028436957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43932 (or 43929 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1028436957 is about 32069.2525170139. The cubic root of 1028436957 is about 1009.3905276323.

The spelling of 1028436957 in words is "one billion, twenty-eight million, four hundred thirty-six thousand, nine hundred fifty-seven".

Divisors: 1 3 9 2777 8331 24993 41149 123447 370341 114270773 342812319 1028436957