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199407648 = 25311188833
BaseRepresentation
bin10111110001010…
…11100000100000
3111220012221212110
423320223200200
5402022021043
631441555320
74640636256
oct1370534040
9456187773
10199407648
11a2618a10
1256945b40
133240a7bb
141c6aa5d6
151278db33
hexbe2b820

199407648 has 48 divisors (see below), whose sum is σ = 571034016. Its totient is φ = 60426240.

The previous prime is 199407623. The next prime is 199407667. The reversal of 199407648 is 846704991.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 199407597 and 199407606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93361 + ... + 95472.

It is an arithmetic number, because the mean of its divisors is an integer number (11896542).

Almost surely, 2199407648 is an apocalyptic number.

It is an amenable number.

199407648 is an abundant number, since it is smaller than the sum of its proper divisors (371626368).

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

199407648 is a wasteful number, since it uses less digits than its factorization.

199407648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188857 (or 188849 counting only the distinct ones).

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

The square root of 199407648 is about 14121.1772880309. The cubic root of 199407648 is about 584.2256274611.

The spelling of 199407648 in words is "one hundred ninety-nine million, four hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 188833 377666 566499 755332 1132998 1510664 2077163 2265996 3021328 4154326 4531992 6042656 6231489 8308652 9063984 12462978 16617304 18127968 24925956 33234608 49851912 66469216 99703824 199407648