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199995952 = 24132371999
BaseRepresentation
bin10111110101110…
…11001000110000
3111221022211212111
423322323020300
5402144332302
631502335104
74645636402
oct1372731060
9457284774
10199995952
11a298aa12
1256b8a494
1332585500
141c7c0b72
15128580d7
hexbebb230

199995952 has 60 divisors (see below), whose sum is σ = 431148000. Its totient is φ = 89766144.

The previous prime is 199995949. The next prime is 199995953. The reversal of 199995952 is 259599991.

It is not an unprimeable number, because it can be changed into a prime (199995953) 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, 99049 + ... + 101047.

It is an arithmetic number, because the mean of its divisors is an integer number (7185800).

Almost surely, 2199995952 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 199995952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215574000).

199995952 is an abundant number, since it is smaller than the sum of its proper divisors (231152048).

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

199995952 is a wasteful number, since it uses less digits than its factorization.

199995952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2051 counting only the distinct ones).

The product of its digits is 2952450, while the sum is 58.

The square root of 199995952 is about 14141.9925045943. The cubic root of 199995952 is about 584.7996021414.

The spelling of 199995952 in words is "one hundred ninety-nine million, nine hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 169 208 296 338 481 592 676 962 1352 1924 1999 2704 3848 3998 6253 7696 7996 12506 15992 25012 25987 31984 50024 51974 73963 100048 103948 147926 207896 295852 337831 415792 591704 675662 961519 1183408 1351324 1923038 2702648 3846076 5405296 7692152 12499747 15384304 24999494 49998988 99997976 199995952