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288057852 = 22328001607
BaseRepresentation
bin10001001010110…
…110100111111100
3202002000212002100
4101022312213330
51042220322402
644330025100
710065310545
oct2112664774
9662025070
10288057852
11138668145
1280578190
13478a9244
142a3854cc
151a45071c
hex112b69fc

288057852 has 18 divisors (see below), whose sum is σ = 728146328. Its totient is φ = 96019272.

The previous prime is 288057787. The next prime is 288057871. The reversal of 288057852 is 258750882.

288057852 is a `hidden beast` number, since 28 + 8 + 0 + 578 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 288057798 and 288057807.

It is a congruent number.

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, 4000768 + ... + 4000839.

Almost surely, 2288057852 is an apocalyptic number.

It is an amenable number.

288057852 is an abundant number, since it is smaller than the sum of its proper divisors (440088476).

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

288057852 is a wasteful number, since it uses less digits than its factorization.

288057852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001617 (or 8001612 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 288057852 is about 16972.2671437849. The cubic root of 288057852 is about 660.4296651275.

The spelling of 288057852 in words is "two hundred eighty-eight million, fifty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8001607 16003214 24004821 32006428 48009642 72014463 96019284 144028926 288057852