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399227808 = 2537678867
BaseRepresentation
bin10111110010111…
…011101110100000
31000211012212121010
4113302323232200
51304200242213
6103340500520
712615244320
oct2762735640
91024185533
10399227808
11195398841
12b184a740
1364930c95
143b043280
15250aeac3
hex17cbbba0

399227808 has 96 divisors (see below), whose sum is σ = 1215696384. Its totient is φ = 112349952.

The previous prime is 399227797. The next prime is 399227831. The reversal of 399227808 is 808722993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40591 + ... + 49457.

It is an arithmetic number, because the mean of its divisors is an integer number (12663504).

Almost surely, 2399227808 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 399227808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607848192).

399227808 is an abundant number, since it is smaller than the sum of its proper divisors (816468576).

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

399227808 is a wasteful number, since it uses less digits than its factorization.

399227808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 399227808 is about 19980.6858741135. The cubic root of 399227808 is about 736.3318643592.

The spelling of 399227808 in words is "three hundred ninety-nine million, two hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 168 201 224 268 336 402 469 536 672 804 938 1072 1407 1608 1876 2144 2814 3216 3752 5628 6432 7504 8867 11256 15008 17734 22512 26601 35468 45024 53202 62069 70936 106404 124138 141872 186207 212808 248276 283744 372414 425616 496552 594089 744828 851232 993104 1188178 1489656 1782267 1986208 2376356 2979312 3564534 4158623 4752712 5958624 7129068 8317246 9505424 12475869 14258136 16634492 19010848 24951738 28516272 33268984 49903476 57032544 66537968 99806952 133075936 199613904 399227808