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388980520 = 23520814673
BaseRepresentation
bin10111001011110…
…101111100101000
31000002221020221221
4113023311330220
51244034334040
6102333111424
712432164665
oct2713657450
91002836857
10388980520
1118a629905
12aa328574
13627839b6
1439936a6c
152423874a
hex172f5f28

388980520 has 32 divisors (see below), whose sum is σ = 875814120. Its totient is φ = 155484160.

The previous prime is 388980503. The next prime is 388980523. The reversal of 388980520 is 25089883.

It can be written as a sum of positive squares in 4 ways, for example, as 367949124 + 21031396 = 19182^2 + 4586^2 .

It is not an unprimeable number, because it can be changed into a prime (388980523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80904 + ... + 85576.

Almost surely, 2388980520 is an apocalyptic number.

It is an amenable number.

388980520 is an abundant number, since it is smaller than the sum of its proper divisors (486833600).

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

388980520 is a wasteful number, since it uses less digits than its factorization.

388980520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 388980520 is about 19722.5890795301. The cubic root of 388980520 is about 729.9771807466.

The spelling of 388980520 in words is "three hundred eighty-eight million, nine hundred eighty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2081 4162 4673 8324 9346 10405 16648 18692 20810 23365 37384 41620 46730 83240 93460 186920 9724513 19449026 38898052 48622565 77796104 97245130 194490260 388980520