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857775152 = 241315726267
BaseRepresentation
bin110011001000001…
…001110000110000
32012210001111022002
4303020021300300
53224042301102
6221041033132
730153653123
oct6310116060
92183044262
10857775152
11400212193
121bb3257a8
13108931280
1481cc83ba
155048a902
hex33209c30

857775152 has 40 divisors (see below), whose sum is σ = 1801249296. Its totient is φ = 393359616.

The previous prime is 857775119. The next prime is 857775157. The reversal of 857775152 is 251577758.

It is a happy number.

It is a super-2 number, since 2×8577751522 = 1471556422777246208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 857775097 and 857775106.

It is not an unprimeable number, because it can be changed into a prime (857775157) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19523 + ... + 45789.

Almost surely, 2857775152 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 857775152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900624648).

857775152 is an abundant number, since it is smaller than the sum of its proper divisors (943474144).

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

857775152 is a wasteful number, since it uses less digits than its factorization.

857775152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26445 (or 26439 counting only the distinct ones).

The product of its digits is 686000, while the sum is 47.

The square root of 857775152 is about 29287.7986881910. The cubic root of 857775152 is about 950.1477709191.

The spelling of 857775152 in words is "eight hundred fifty-seven million, seven hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 1256 2041 2512 4082 8164 16328 26267 32656 52534 105068 210136 341471 420272 682942 1365884 2731768 4123919 5463536 8247838 16495676 32991352 53610947 65982704 107221894 214443788 428887576 857775152