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199439744 = 277416189
BaseRepresentation
bin10111110001100…
…11010110000000
3111220021120220012
423320303112000
5402024032434
631442404052
74641131660
oct1370632600
9456246805
10199439744
11a2640039
1256960628
133241c2aa
141c6b81a0
15127983ce
hexbe33580

199439744 has 128 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 81100800.

The previous prime is 199439711. The next prime is 199439749. The reversal of 199439744 is 447934991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1994397442 = 79552422973571072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199439692 and 199439701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199439749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2240852 + ... + 2240940.

Almost surely, 2199439744 is an apocalyptic number.

199439744 is a gapful number since it is divisible by the number (14) 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 199439744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

199439744 is an abundant number, since it is smaller than the sum of its proper divisors (278654656).

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

199439744 is an equidigital number, since it uses as much as digits as its factorization.

199439744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 199439744 is about 14122.3136914601. The cubic root of 199439744 is about 584.2569707922.

The spelling of 199439744 in words is "one hundred ninety-nine million, four hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 61 64 82 89 112 122 128 164 178 224 244 287 328 356 427 448 488 574 623 656 712 854 896 976 1148 1246 1312 1424 1708 1952 2296 2492 2501 2624 2848 3416 3649 3904 4592 4984 5002 5248 5429 5696 6832 7298 7808 9184 9968 10004 10858 11392 13664 14596 17507 18368 19936 20008 21716 25543 27328 29192 35014 36736 38003 39872 40016 43432 51086 54656 58384 70028 76006 79744 80032 86864 102172 116768 140056 152012 160064 173728 204344 222589 233536 280112 304024 320128 347456 408688 445178 467072 560224 608048 694912 817376 890356 1120448 1216096 1558123 1634752 1780712 2240896 2432192 3116246 3269504 3561424 4864384 6232492 7122848 12464984 14245696 24929968 28491392 49859936 99719872 199439744