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4280331940 = 2254153149661
BaseRepresentation
bin1111111100100000…
…1010111010100100
3102001022012101120121
43333020022322210
532231231110230
61544422211324
7211033135603
oct37710127244
912038171517
104280331940
1118a7154815
129b5583b44
13532a241c1
142c8687a3a
151a0b9b77a
hexff20aea4

4280331940 has 96 divisors (see below), whose sum is σ = 9458920800. Its totient is φ = 1625395200.

The previous prime is 4280331911. The next prime is 4280331953. The reversal of 4280331940 is 491330824.

It can be written as a sum of positive squares in 16 ways, for example, as 1743396516 + 2536935424 = 41754^2 + 50368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4280331896 and 4280331905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6475210 + ... + 6475870.

It is an arithmetic number, because the mean of its divisors is an integer number (98530425).

Almost surely, 24280331940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4280331940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729460400).

4280331940 is an abundant number, since it is smaller than the sum of its proper divisors (5178588860).

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

4280331940 is a wasteful number, since it uses less digits than its factorization.

4280331940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4280331940 is about 65424.2458114727. The cubic root of 4280331940 is about 1623.6502483364.

The spelling of 4280331940 in words is "four billion, two hundred eighty million, three hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 53 82 106 149 164 205 212 265 298 410 530 596 661 745 820 1060 1322 1490 2173 2644 2980 3305 4346 6109 6610 7897 8692 10865 12218 13220 15794 21730 24436 27101 30545 31588 35033 39485 43460 54202 61090 70066 78970 98489 108404 122180 135505 140132 157940 175165 196978 271010 323777 350330 393956 492445 542020 647554 700660 984890 1295108 1436353 1618885 1969780 2872706 3237770 4038049 5219917 5745412 6475540 7181765 8076098 10439834 14363530 16152196 20190245 20879668 26099585 28727060 40380490 52199170 80760980 104398340 214016597 428033194 856066388 1070082985 2140165970 4280331940