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399074976 = 25324133797
BaseRepresentation
bin10111110010010…
…110011010100000
31000210221002221200
4113302112122200
51304130344401
6103333321200
712614036616
oct2762263240
91023832850
10399074976
111952a3a33
12b1796200
13648a9551
143b0036b6
152507e686
hex17c966a0

399074976 has 72 divisors (see below), whose sum is σ = 1162583604. Its totient is φ = 129776640.

The previous prime is 399074971. The next prime is 399074987. The reversal of 399074976 is 679470993.

It can be written as a sum of positive squares in 2 ways, for example, as 356303376 + 42771600 = 18876^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (399074971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5091 + ... + 28706.

Almost surely, 2399074976 is an apocalyptic number.

399074976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581291802).

399074976 is an abundant number, since it is smaller than the sum of its proper divisors (763508628).

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

399074976 is a wasteful number, since it uses less digits than its factorization.

399074976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33854 (or 33843 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 399074976 is about 19976.8610146840. The cubic root of 399074976 is about 736.2378917513.

The spelling of 399074976 in words is "three hundred ninety-nine million, seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 33797 67594 101391 135188 202782 270376 304173 405564 540752 608346 811128 1081504 1216692 1385677 1622256 2433384 2771354 3244512 4157031 4866768 5542708 8314062 9733536 11085416 12471093 16628124 22170832 24942186 33256248 44341664 49884372 66512496 99768744 133024992 199537488 399074976