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399987328 = 2713271887
BaseRepresentation
bin10111110101110…
…101001010000000
31000212122110110111
4113311311022000
51304344043303
6103405041104
712624556546
oct2765651200
91025573414
10399987328
11195867444
12b1b56194
1364b388c0
143b19dd96
15251aeb6d
hex17d75280

399987328 has 64 divisors (see below), whose sum is σ = 862283520. Its totient is φ = 183720960.

The previous prime is 399987323. The next prime is 399987383. The reversal of 399987328 is 823789993.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (399987323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450501 + ... + 451387.

It is an arithmetic number, because the mean of its divisors is an integer number (13473180).

Almost surely, 2399987328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431141760).

399987328 is an abundant number, since it is smaller than the sum of its proper divisors (462296192).

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

399987328 is a wasteful number, since it uses less digits than its factorization.

399987328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 58.

The square root of 399987328 is about 19999.6831974909. The cubic root of 399987328 is about 736.7985189714.

The spelling of 399987328 in words is "three hundred ninety-nine million, nine hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 271 416 542 832 887 1084 1664 1774 2168 3523 3548 4336 7046 7096 8672 11531 14092 14192 17344 23062 28184 28384 34688 46124 56368 56768 92248 112736 113536 184496 225472 240377 368992 450944 480754 737984 961508 1475968 1923016 3124901 3846032 6249802 7692064 12499604 15384128 24999208 30768256 49998416 99996832 199993664 399987328