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385175808 = 2832167177
BaseRepresentation
bin10110111101010…
…101000100000000
3222211202221212200
4112331111010000
51242101111213
6102115353200
712354640353
oct2675250400
9884687780
10385175808
11188470316
12a8bb2800
1361a50ca4
143922629a
1523c36273
hex16f55100

385175808 has 54 divisors (see below), whose sum is σ = 1110563454. Its totient is φ = 128391168.

The previous prime is 385175803. The next prime is 385175827. The reversal of 385175808 is 808571583.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 272646144 + 112529664 = 16512^2 + 10608^2 .

It is not an unprimeable number, because it can be changed into a prime (385175803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81285 + ... + 85892.

Almost surely, 2385175808 is an apocalyptic number.

It is an amenable number.

385175808 is an abundant number, since it is smaller than the sum of its proper divisors (725387646).

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

385175808 is a wasteful number, since it uses less digits than its factorization.

385175808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167199 (or 167182 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 385175808 is about 19625.8963616952. The cubic root of 385175808 is about 727.5893509839.

The spelling of 385175808 in words is "three hundred eighty-five million, one hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 167177 334354 501531 668708 1003062 1337416 1504593 2006124 2674832 3009186 4012248 5349664 6018372 8024496 10699328 12036744 16048992 21398656 24073488 32097984 42797312 48146976 64195968 96293952 128391936 192587904 385175808