Search a number
-
+
4286806920 = 23325111082527
BaseRepresentation
bin1111111110000011…
…0111101110001000
3102001202101100120200
43333200313232020
532234410310140
61545213052200
7211142154234
oct37740675610
912052340520
104286806920
1118aa877540
129b7787060
13534180456
142c94915c4
151a152a030
hexff837b88

4286806920 has 96 divisors (see below), whose sum is σ = 15198693120. Its totient is φ = 1039224960.

The previous prime is 4286806919. The next prime is 4286806967. The reversal of 4286806920 is 296086824.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537304 + ... + 545223.

It is an arithmetic number, because the mean of its divisors is an integer number (158319720).

Almost surely, 24286806920 is an apocalyptic number.

4286806920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4286806920 is an abundant number, since it is smaller than the sum of its proper divisors (10911886200).

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

4286806920 is a wasteful number, since it uses less digits than its factorization.

4286806920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082555 (or 1082548 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4286806920 is about 65473.7116711738. The cubic root of 4286806920 is about 1624.4685498394.

It can be divided in two parts, 428680 and 6920, that added together give a square (435600 = 6602).

The spelling of 4286806920 in words is "four billion, two hundred eighty-six million, eight hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 1082527 2165054 3247581 4330108 5412635 6495162 8660216 9742743 10825270 11907797 12990324 16237905 19485486 21650540 23815594 25980648 32475810 35723391 38970972 43301080 47631188 48713715 59538985 64951620 71446782 77941944 95262376 97427430 107170173 119077970 129903240 142893564 178616955 194854860 214340346 238155940 285787128 357233910 389709720 428680692 476311880 535850865 714467820 857361384 1071701730 1428935640 2143403460 4286806920