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194195456 = 212713521
BaseRepresentation
bin10111001001100…
…11000000000000
3111112102011002022
423210303000000
5344203223311
631134141012
74545430340
oct1344630000
9445364068
10194195456
119a688a14
1255051768
1331304270
141bb10d20
15120ae5db
hexb933000

194195456 has 104 divisors (see below), whose sum is σ = 478878624. Its totient is φ = 76677120.

The previous prime is 194195453. The next prime is 194195461. The reversal of 194195456 is 654591491.

It is a tau number, because it is divible by the number of its divisors (104).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (194195453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372476 + ... + 372996.

Almost surely, 2194195456 is an apocalyptic number.

194195456 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 194195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239439312).

194195456 is an abundant number, since it is smaller than the sum of its proper divisors (284683168).

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

194195456 is an equidigital number, since it uses as much as digits as its factorization.

194195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 543 counting only the distinct ones).

The product of its digits is 194400, while the sum is 44.

The square root of 194195456 is about 13935.4029722861. The cubic root of 194195456 is about 579.0903855324.

The spelling of 194195456 in words is "one hundred ninety-four million, one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 521 728 832 896 1024 1042 1456 1664 1792 2048 2084 2912 3328 3584 3647 4096 4168 5824 6656 6773 7168 7294 8336 11648 13312 13546 14336 14588 16672 23296 26624 27092 28672 29176 33344 46592 47411 53248 54184 58352 66688 93184 94822 108368 116704 133376 186368 189644 216736 233408 266752 372736 379288 433472 466816 533504 758576 866944 933632 1067008 1517152 1733888 1867264 2134016 3034304 3467776 3734528 6068608 6935552 7469056 12137216 13871104 14938112 24274432 27742208 48548864 97097728 194195456