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194607648 = 25324116481
BaseRepresentation
bin10111001100101…
…11101000100000
3111120012002111200
423212113220200
5344304421043
631151041200
74552065144
oct1346275040
9446162450
10194607648
119a93a674
1255210200
1331419a71
141bbbb224
15121417d3
hexb997a20

194607648 has 72 divisors (see below), whose sum is σ = 566947836. Its totient is φ = 63283200.

The previous prime is 194607643. The next prime is 194607703. The reversal of 194607648 is 846706491.

It can be written as a sum of positive squares in 2 ways, for example, as 173923344 + 20684304 = 13188^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194607643) 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 11 ways as a sum of consecutive naturals, for example, 3568 + ... + 20048.

Almost surely, 2194607648 is an apocalyptic number.

194607648 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 194607648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283473918).

194607648 is an abundant number, since it is smaller than the sum of its proper divisors (372340188).

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

194607648 is a wasteful number, since it uses less digits than its factorization.

194607648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16538 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 194607648 is about 13950.1845149088. The cubic root of 194607648 is about 579.4998145088.

The spelling of 194607648 in words is "one hundred ninety-four million, six hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 16481 32962 49443 65924 98886 131848 148329 197772 263696 296658 395544 527392 593316 675721 791088 1186632 1351442 1582176 2027163 2373264 2702884 4054326 4746528 5405768 6081489 8108652 10811536 12162978 16217304 21623072 24325956 32434608 48651912 64869216 97303824 194607648