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399040576 = 261122272
BaseRepresentation
bin10111110010001…
…110000001000000
31000210212100202121
4113302032001000
51304123244301
6103332454024
712613534414
oct2762160100
91023770677
10399040576
11195280100
12b177a314
13648969ac
143add4d44
15250743a1
hex17c8e040

399040576 has 63 divisors (see below), whose sum is σ = 874227487. Its totient is φ = 180583040.

The previous prime is 399040573. The next prime is 399040601. The reversal of 399040576 is 675040993.

The square root of 399040576 is 19976.

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 (399040573) 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 8 ways as a sum of consecutive naturals, for example, 1757775 + ... + 1758001.

Almost surely, 2399040576 is an apocalyptic number.

399040576 is the 19976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399040576

399040576 is an abundant number, since it is smaller than the sum of its proper divisors (475186911).

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

399040576 is an equidigital number, since it uses as much as digits as its factorization.

399040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The cubic root of 399040576 is about 736.2167367364.

The spelling of 399040576 in words is "three hundred ninety-nine million, forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 227 242 352 454 484 704 908 968 1816 1936 2497 3632 3872 4994 7264 7744 9988 14528 19976 27467 39952 51529 54934 79904 103058 109868 159808 206116 219736 412232 439472 566819 824464 878944 1133638 1648928 1757888 2267276 3297856 4534552 6235009 9069104 12470018 18138208 24940036 36276416 49880072 99760144 199520288 399040576