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384000552 = 233213410257
BaseRepresentation
bin10110111000110…
…110001000101000
3222202120020201200
4112320312020220
51241301004202
6102034244200
712341644065
oct2670661050
9882506650
10384000552
11187838331
12a8726660
136172c080
1438ddbc6c
1523aa2e1c
hex16e36228

384000552 has 48 divisors (see below), whose sum is σ = 1120004340. Its totient is φ = 118153728.

The previous prime is 384000523. The next prime is 384000563. The reversal of 384000552 is 255000483.

It can be written as a sum of positive squares in 2 ways, for example, as 377680356 + 6320196 = 19434^2 + 2514^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204193 + ... + 206064.

Almost surely, 2384000552 is an apocalyptic number.

It is an amenable number.

384000552 is an abundant number, since it is smaller than the sum of its proper divisors (736003788).

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

384000552 is a wasteful number, since it uses less digits than its factorization.

384000552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410282 (or 410275 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 384000552 is about 19595.9320268264. The cubic root of 384000552 is about 726.8485854141.

The spelling of 384000552 in words is "three hundred eighty-four million, five hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 410257 820514 1230771 1641028 2461542 3282056 3692313 4923084 5333341 7384626 9846168 10666682 14769252 16000023 21333364 29538504 32000046 42666728 48000069 64000092 96000138 128000184 192000276 384000552