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395878464 = 2632687289
BaseRepresentation
bin10111100110001…
…010000001000000
31000120220201011100
4113212022001000
51302321102324
6103141014400
712544624422
oct2746120100
91016821140
10395878464
11193510393
12b06b4400
136402a617
143a810812
1524b4c4c9
hex1798a040

395878464 has 42 divisors (see below), whose sum is σ = 1134715790. Its totient is φ = 131959296.

The previous prime is 395878459. The next prime is 395878481. The reversal of 395878464 is 464878593.

It can be written as a sum of positive squares in only one way, i.e., 361304064 + 34574400 = 19008^2 + 5880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 395878464.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 343069 + ... + 344220.

Almost surely, 2395878464 is an apocalyptic number.

It is an amenable number.

395878464 is an abundant number, since it is smaller than the sum of its proper divisors (738837326).

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

395878464 is a wasteful number, since it uses less digits than its factorization.

395878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687307 (or 687294 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 395878464 is about 19896.6948008960. The cubic root of 395878464 is about 734.2669131015.

The spelling of 395878464 in words is "three hundred ninety-five million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 687289 1374578 2061867 2749156 4123734 5498312 6185601 8247468 10996624 12371202 16494936 21993248 24742404 32989872 43986496 49484808 65979744 98969616 131959488 197939232 395878464