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199489536 = 2113279137
BaseRepresentation
bin10111110001111…
…11100000000000
3111220101010012100
423320333200000
5402032131121
631443430400
74641430101
oct1370774000
9456333170
10199489536
11a2674494
1256985400
1332438b5c
141c6cc3a8
15127a8026
hexbe3f800

199489536 has 144 divisors (see below), whose sum is σ = 587714400. Its totient is φ = 65175552.

The previous prime is 199489523. The next prime is 199489567. The reversal of 199489536 is 635984991.

199489536 is a `hidden beast` number, since 19 + 94 + 8 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1456060 + ... + 1456196.

It is an arithmetic number, because the mean of its divisors is an integer number (4081350).

Almost surely, 2199489536 is an apocalyptic number.

199489536 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 199489536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293857200).

199489536 is an abundant number, since it is smaller than the sum of its proper divisors (388224864).

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

199489536 is a wasteful number, since it uses less digits than its factorization.

199489536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 199489536 is about 14124.0764653835. The cubic root of 199489536 is about 584.3055884880.

The spelling of 199489536 in words is "one hundred ninety-nine million, four hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 137 144 158 192 237 256 274 288 316 384 411 474 512 548 576 632 711 768 822 948 1024 1096 1152 1233 1264 1422 1536 1644 1896 2048 2192 2304 2466 2528 2844 3072 3288 3792 4384 4608 4932 5056 5688 6144 6576 7584 8768 9216 9864 10112 10823 11376 13152 15168 17536 18432 19728 20224 21646 22752 26304 30336 32469 35072 39456 40448 43292 45504 52608 60672 64938 70144 78912 80896 86584 91008 97407 105216 121344 129876 140288 157824 161792 173168 182016 194814 210432 242688 259752 280576 315648 346336 364032 389628 420864 485376 519504 631296 692672 728064 779256 841728 1039008 1262592 1385344 1456128 1558512 2078016 2525184 2770688 3117024 4156032 5541376 6234048 8312064 11082752 12468096 16624128 22165504 24936192 33248256 49872384 66496512 99744768 199489536