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4282419330 = 2325714714621
BaseRepresentation
bin1111111101000000…
…1000100010000010
3102001110010102221100
43333100020202002
532232244404310
61544535035230
7211056651360
oct37720104202
912043112840
104282419330
1118a8350032
129b620bb16
135332a5347
142c8a6c630
151a0e5eec0
hexff408882

4282419330 has 96 divisors (see below), whose sum is σ = 12736309248. Its totient is φ = 977961600.

The previous prime is 4282419313. The next prime is 4282419389. The reversal of 4282419330 is 339142824.

4282419330 is a `hidden beast` number, since 4 + 282 + 41 + 9 + 330 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 924420 + ... + 929040.

It is an arithmetic number, because the mean of its divisors is an integer number (132669888).

Almost surely, 24282419330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282419330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368154624).

4282419330 is an abundant number, since it is smaller than the sum of its proper divisors (8453889918).

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

4282419330 is a wasteful number, since it uses less digits than its factorization.

4282419330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6109 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4282419330 is about 65440.1965920030. The cubic root of 4282419330 is about 1623.9141406819.

The spelling of 4282419330 in words is "four billion, two hundred eighty-two million, four hundred nineteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1471 2942 4413 4621 7355 8826 9242 10297 13239 13863 14710 20594 22065 23105 26478 27726 30891 32347 41589 44130 46210 51485 61782 64694 66195 69315 83178 92673 97041 102970 132390 138630 154455 161735 185346 194082 207945 291123 308910 323470 415890 463365 485205 582246 926730 970410 1455615 2911230 6797491 13594982 20392473 33987455 40784946 47582437 61177419 67974910 95164874 101962365 122354838 142747311 203924730 237912185 285494622 305887095 428241933 475824370 611774190 713736555 856483866 1427473110 2141209665 4282419330