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199407376 = 2473179727
BaseRepresentation
bin10111110001010…
…11011100010000
3111220012221111101
423320223130100
5402022014001
631441554144
74640635420
oct1370533420
9456187441
10199407376
11a2618793
1256945954
133240a63c
141c6aa480
151278da01
hexbe2b710

199407376 has 80 divisors (see below), whose sum is σ = 462192640. Its totient is φ = 81544320.

The previous prime is 199407361. The next prime is 199407379. The reversal of 199407376 is 673704991.

199407376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199407379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273925 + ... + 274651.

It is an arithmetic number, because the mean of its divisors is an integer number (5777408).

Almost surely, 2199407376 is an apocalyptic number.

199407376 is a gapful number since it is divisible by the number (16) 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 199407376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231096320).

199407376 is an abundant number, since it is smaller than the sum of its proper divisors (262785264).

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

199407376 is a wasteful number, since it uses less digits than its factorization.

199407376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 199407376 is about 14121.1676571026. The cubic root of 199407376 is about 584.2253618253.

The spelling of 199407376 in words is "one hundred ninety-nine million, four hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 79 112 124 158 217 248 316 434 496 553 632 727 868 1106 1264 1454 1736 2212 2449 2908 3472 4424 4898 5089 5816 8848 9796 10178 11632 17143 19592 20356 22537 34286 39184 40712 45074 57433 68572 81424 90148 114866 137144 157759 180296 229732 274288 315518 360592 402031 459464 631036 804062 918928 1262072 1608124 1780423 2524144 3216248 3560846 6432496 7121692 12462961 14243384 24925922 28486768 49851844 99703688 199407376