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194804352 = 27356263
BaseRepresentation
bin10111001110001…
…11101010000000
3111120120002100000
423213013222000
5344332214402
631155200000
74553544501
oct1347075200
9446502300
10194804352
119aa64436
12552a6000
1331488462
141bc2cba8
151217ec1c
hexb9c7a80

194804352 has 96 divisors (see below), whose sum is σ = 581424480. Its totient is φ = 64924416.

The previous prime is 194804347. The next prime is 194804353. The reversal of 194804352 is 253408491.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194804353) 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, 27973 + ... + 34235.

It is an arithmetic number, because the mean of its divisors is an integer number (6056505).

Almost surely, 2194804352 is an apocalyptic number.

194804352 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 194804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290712240).

194804352 is an abundant number, since it is smaller than the sum of its proper divisors (386620128).

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

194804352 is an frugal number, since it uses more digits than its factorization.

194804352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 194804352 is about 13957.2329635927. The cubic root of 194804352 is about 579.6949961958.

It can be divided in two parts, 19480 and 4352, that added together give a palindrome (23832).

The spelling of 194804352 in words is "one hundred ninety-four million, eight hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 6263 7776 10368 12526 15552 18789 25052 31104 37578 50104 56367 75156 100208 112734 150312 169101 200416 225468 300624 338202 400832 450936 507303 601248 676404 801664 901872 1014606 1202496 1352808 1521909 1803744 2029212 2404992 2705616 3043818 3607488 4058424 5411232 6087636 7214976 8116848 10822464 12175272 16233696 21644928 24350544 32467392 48701088 64934784 97402176 194804352