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614048994 = 232132972081
BaseRepresentation
bin100100100110011…
…010010011100010
31120210102220212100
4210212122103202
52224144031434
6140533111230
721134221206
oct4446322342
91523386770
10614048994
11295684109
12151788516
139a2a7400
145b7a2b06
1538d95699
hex2499a4e2

614048994 has 72 divisors (see below), whose sum is σ = 1456204932. Its totient is φ = 186900480.

The previous prime is 614048989. The next prime is 614048999. The reversal of 614048994 is 499840416.

It is an interprime number because it is at equal distance from previous prime (614048989) and next prime (614048999).

It can be written as a sum of positive squares in 6 ways, for example, as 56475225 + 557573769 = 7515^2 + 23613^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614048999) 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 35 ways as a sum of consecutive naturals, for example, 294034 + ... + 296114.

Almost surely, 2614048994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614048994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728102466).

614048994 is an abundant number, since it is smaller than the sum of its proper divisors (842155938).

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

614048994 is a wasteful number, since it uses less digits than its factorization.

614048994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 614048994 is about 24780.0119854693. The cubic root of 614048994 is about 849.9649323480.

The spelling of 614048994 in words is "six hundred fourteen million, forty-eight thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 169 194 234 291 338 507 582 873 1014 1261 1521 1746 2081 2522 3042 3783 4162 6243 7566 11349 12486 16393 18729 22698 27053 32786 37458 49179 54106 81159 98358 147537 162318 201857 243477 295074 351689 403714 486954 605571 703378 1055067 1211142 1816713 2110134 2624141 3165201 3633426 5248282 6330402 7872423 15744846 23617269 34113833 47234538 68227666 102341499 204682998 307024497 614048994