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387144976 = 2449192
BaseRepresentation
bin10111000100110…
…101110100010000
3222222111000001211
4113010311310100
51243102114401
6102225505504
712410451361
oct2704656420
9888430054
10387144976
11189595829
12a97a2294
136229038a
14395b9b68
1523ec4951
hex17135d10

387144976 has 15 divisors (see below), whose sum is σ = 750245911. Its totient is φ = 193533136.

The previous prime is 387144973. The next prime is 387145009. The reversal of 387144976 is 679441783.

The square root of 387144976 is 19676.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (387144971) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 76245 + ... + 81163.

Almost surely, 2387144976 is an apocalyptic number.

387144976 is the 19676-th square number.

It is an amenable number.

387144976 is a deficient number, since it is larger than the sum of its proper divisors (363100935).

387144976 is an frugal number, since it uses more digits than its factorization.

387144976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 4921 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The cubic root of 387144976 is about 728.8271502475.

Multiplying 387144976 by its sum of digits (49), we get a square (18970103824 = 1377322).

Multiplying 387144976 by its product of digits (1016064), we get a square (393364072894464 = 198334082).

The spelling of 387144976 in words is "three hundred eighty-seven million, one hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 4919 9838 19676 39352 78704 24196561 48393122 96786244 193572488 387144976