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194655072 = 2532323833
BaseRepresentation
bin10111001101000…
…11001101100000
3111120021111120010
423212203031200
5344312430242
631152044520
74552353333
oct1346431540
9446244503
10194655072
119a972267
1255233740
1331435521
141bbd061a
151215089c
hexb9a3360

194655072 has 72 divisors (see below), whose sum is σ = 534290904. Its totient is φ = 62047744.

The previous prime is 194655053. The next prime is 194655079. The reversal of 194655072 is 270556491.

It is a self number, because there is not a number n which added to its sum of digits gives 194655072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194655079) 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, 48868 + ... + 52700.

It is an arithmetic number, because the mean of its divisors is an integer number (7420707).

Almost surely, 2194655072 is an apocalyptic number.

194655072 is a gapful number since it is divisible by the number (12) 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 194655072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267145452).

194655072 is an abundant number, since it is smaller than the sum of its proper divisors (339635832).

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

194655072 is a wasteful number, since it uses less digits than its factorization.

194655072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 194655072 is about 13951.8841738311. The cubic root of 194655072 is about 579.5468835174.

The spelling of 194655072 in words is "one hundred ninety-four million, six hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 2116 2208 3174 3833 4232 6348 7666 8464 11499 12696 15332 16928 22998 25392 30664 45996 50784 61328 88159 91992 122656 176318 183984 264477 352636 367968 528954 705272 1057908 1410544 2027657 2115816 2821088 4055314 4231632 6082971 8110628 8463264 12165942 16221256 24331884 32442512 48663768 64885024 97327536 194655072