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387105552 = 24322688233
BaseRepresentation
bin10111000100101…
…100001100010000
3222222101222222200
4113010230030100
51243044334202
6102225003200
712410225421
oct2704541420
9888358880
10387105552
11189569149
12a9783500
1362278452
14395a9648
1523eb7e1c
hex1712c310

387105552 has 30 divisors (see below), whose sum is σ = 1083358302. Its totient is φ = 129035136.

The previous prime is 387105541. The next prime is 387105557. The reversal of 387105552 is 255501783.

387105552 is a `hidden beast` number, since 38 + 71 + 0 + 5 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 385886736 + 1218816 = 19644^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (387105557) 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 5 ways as a sum of consecutive naturals, for example, 1343973 + ... + 1344260.

Almost surely, 2387105552 is an apocalyptic number.

It is an amenable number.

387105552 is an abundant number, since it is smaller than the sum of its proper divisors (696252750).

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

387105552 is a wasteful number, since it uses less digits than its factorization.

387105552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688247 (or 2688238 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 387105552 is about 19674.9981448538. The cubic root of 387105552 is about 728.8024099403.

The spelling of 387105552 in words is "three hundred eighty-seven million, one hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2688233 5376466 8064699 10752932 16129398 21505864 24194097 32258796 43011728 48388194 64517592 96776388 129035184 193552776 387105552