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195009408 = 27321121399
BaseRepresentation
bin10111001111110…
…01101110000000
3111120221111121200
423213321232000
5344410300113
631203421200
74555360356
oct1347715600
9446844550
10195009408
11a0094500
1255384800
133152a8a9
141bc837d6
15121c0873
hexb9f9b80

195009408 has 144 divisors (see below), whose sum is σ = 617253000. Its totient is φ = 59051520.

The previous prime is 195009383. The next prime is 195009449. The reversal of 195009408 is 804900591.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138693 + ... + 140091.

Almost surely, 2195009408 is an apocalyptic number.

195009408 is a gapful number since it is divisible by the number (18) 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 195009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308626500).

195009408 is an abundant number, since it is smaller than the sum of its proper divisors (422243592).

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

195009408 is a wasteful number, since it uses less digits than its factorization.

195009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 195009408 is about 13964.5769001427. The cubic root of 195009408 is about 579.8983254196.

Adding to 195009408 its reverse (804900591), we get a palindrome (999909999).

The spelling of 195009408 in words is "one hundred ninety-five million, nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1399 1408 1452 1584 1936 2112 2178 2798 2904 3168 3872 4197 4224 4356 5596 5808 6336 7744 8394 8712 11192 11616 12591 12672 15389 15488 16788 17424 22384 23232 25182 30778 33576 34848 44768 46167 46464 50364 61556 67152 69696 89536 92334 100728 123112 134304 138501 139392 169279 179072 184668 201456 246224 268608 277002 338558 369336 402912 492448 507837 537216 554004 677116 738672 805824 984896 1015674 1108008 1354232 1477344 1523511 1611648 1969792 2031348 2216016 2708464 2954688 3047022 4062696 4432032 5416928 5909376 6094044 8125392 8864064 10833856 12188088 16250784 17728128 21667712 24376176 32501568 48752352 65003136 97504704 195009408