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199995904 = 29478311
BaseRepresentation
bin10111110101110…
…11001000000000
3111221022211210201
423322323020000
5402144332104
631502334544
74645636303
oct1372731000
9457284721
10199995904
11a298a979
1256b8a454
1332585494
141c7c0b3a
15128580a4
hexbebb200

199995904 has 40 divisors (see below), whose sum is σ = 408152448. Its totient is φ = 97858560.

The previous prime is 199995889. The next prime is 199995923. The reversal of 199995904 is 409599991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19909 + ... + 28219.

Almost surely, 2199995904 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 199995904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204076224).

199995904 is an abundant number, since it is smaller than the sum of its proper divisors (208156544).

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

199995904 is an frugal number, since it uses more digits than its factorization.

199995904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 55.

The square root of 199995904 is about 14141.9908075207. The cubic root of 199995904 is about 584.7995553564.

It can be divided in two parts, 1999 and 95904, that added together give a triangular number (97903 = T442).

The spelling of 199995904 in words is "one hundred ninety-nine million, nine hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1504 3008 6016 8311 12032 16622 24064 33244 66488 132976 265952 390617 531904 781234 1063808 1562468 2127616 3124936 4255232 6249872 12499744 24999488 49998976 99997952 199995904