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199902976 = 287138581
BaseRepresentation
bin10111110101001…
…00011100000000
3111221011010022221
423322210130000
5402133343401
631500340424
74645101340
oct1372443400
9457133287
10199902976
11a2927079
1256b44714
13325520b0
141c798d20
151283a7a1
hexbea4700

199902976 has 72 divisors (see below), whose sum is σ = 491165024. Its totient is φ = 79073280.

The previous prime is 199902931. The next prime is 199902977. The reversal of 199902976 is 679209991.

It is a super-2 number, since 2×1999029762 = 79922399627313152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199902977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19006 + ... + 27586.

Almost surely, 2199902976 is an apocalyptic number.

199902976 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 199902976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245582512).

199902976 is an abundant number, since it is smaller than the sum of its proper divisors (291262048).

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

199902976 is an equidigital number, since it uses as much as digits as its factorization.

199902976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 52.

The square root of 199902976 is about 14138.7048911843. The cubic root of 199902976 is about 584.7089657141.

The spelling of 199902976 in words is "one hundred ninety-nine million, nine hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 8581 11648 17162 23296 34324 60067 68648 111553 120134 137296 223106 240268 274592 446212 480536 549184 780871 892424 961072 1098368 1561742 1784848 1922144 2196736 3123484 3569696 3844288 6246968 7139392 7688576 12493936 14278784 15377152 24987872 28557568 49975744 99951488 199902976