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4282040280 = 2335747108461
BaseRepresentation
bin1111111100111010…
…1011111111011000
3102001102102011222110
43333032223333120
532232200242110
61544522552320
7211053512310
oct37716537730
912042364873
104282040280
1118a8111271
129b60686a0
135331a195b
142c89b0440
151a0dd7a20
hexff3abfd8

4282040280 has 128 divisors (see below), whose sum is σ = 14993786880. Its totient is φ = 957918720.

The previous prime is 4282040263. The next prime is 4282040281. The reversal of 4282040280 is 820402824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282040281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14751 + ... + 93710.

It is an arithmetic number, because the mean of its divisors is an integer number (117138960).

Almost surely, 24282040280 is an apocalyptic number.

4282040280 is a gapful number since it is divisible by the number (40) 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 4282040280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496893440).

4282040280 is an abundant number, since it is smaller than the sum of its proper divisors (10711746600).

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

4282040280 is a wasteful number, since it uses less digits than its factorization.

4282040280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108529 (or 108525 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4282040280 is about 65437.3003721883. The cubic root of 4282040280 is about 1623.8662267365.

The spelling of 4282040280 in words is "four billion, two hundred eighty-two million, forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 108461 216922 325383 433844 542305 650766 759227 867688 1084610 1301532 1518454 1626915 2169220 2277681 2603064 3036908 3253830 3796135 4338440 4555362 5097667 6073816 6507660 7592270 9110724 10195334 11388405 13015320 15184540 15293001 18221448 20390668 22776810 25488335 30369080 30586002 35683669 40781336 45553620 50976670 61172004 71367338 76465005 91107240 101953340 107051007 122344008 142734676 152930010 178418345 203906680 214102014 285469352 305860020 356836690 428204028 535255035 611720040 713673380 856408056 1070510070 1427346760 2141020140 4282040280