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399520144 = 241922632
BaseRepresentation
bin10111110100000…
…011000110010000
31000211202201121101
4113310003012100
51304234121034
6103351034144
712620602522
oct2764030620
91024681541
10399520144
11195578441
12b196b954
1364a0406a
143b0bba12
152511b514
hex17d03190

399520144 has 45 divisors (see below), whose sum is σ = 820073163. Its totient is φ = 188526816.

The previous prime is 399520141. The next prime is 399520151. The reversal of 399520144 is 441025993.

The square root of 399520144 is 19988.

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 (399520141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1518957 + ... + 1519219.

Almost surely, 2399520144 is an apocalyptic number.

399520144 is the 19988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399520144

399520144 is an abundant number, since it is smaller than the sum of its proper divisors (420553019).

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

399520144 is an equidigital number, since it uses as much as digits as its factorization.

399520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 399520144 is about 736.5115477281.

The spelling of 399520144 in words is "three hundred ninety-nine million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 263 304 361 526 722 1052 1444 2104 2888 4208 4997 5776 9994 19988 39976 69169 79952 94943 138338 189886 276676 379772 553352 759544 1106704 1314211 1519088 2628422 5256844 10513688 21027376 24970009 49940018 99880036 199760072 399520144