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4255665440 = 2551319310601
BaseRepresentation
bin1111110110101000…
…0100110100100000
3101222120210012111112
43331222010310200
532203422243230
61542141402452
7210313362605
oct37552046440
911876705445
104255665440
111894237484
129a9269428
1352a898a40
142c52a66ac
1519d927d95
hexfda84d20

4255665440 has 96 divisors (see below), whose sum is σ = 10884522096. Its totient is φ = 1563033600.

The previous prime is 4255665389. The next prime is 4255665443. The reversal of 4255665440 is 445665524.

It can be written as a sum of positive squares in 8 ways, for example, as 1281926416 + 2973739024 = 35804^2 + 54532^2 .

It is a super-2 number, since 2×42556654402 = 36221376674420787200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4255665443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396140 + ... + 406740.

Almost surely, 24255665440 is an apocalyptic number.

4255665440 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 4255665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442261048).

4255665440 is an abundant number, since it is smaller than the sum of its proper divisors (6628856656).

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

4255665440 is a wasteful number, since it uses less digits than its factorization.

4255665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822 (or 10814 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The square root of 4255665440 is about 65235.4615220893. The cubic root of 4255665440 is about 1620.5253389457.

The spelling of 4255665440 in words is "four billion, two hundred fifty-five million, six hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 193 208 260 386 416 520 772 965 1040 1544 1930 2080 2509 3088 3860 5018 6176 7720 10036 10601 12545 15440 20072 21202 25090 30880 40144 42404 50180 53005 80288 84808 100360 106010 137813 169616 200720 212020 275626 339232 401440 424040 551252 689065 848080 1102504 1378130 1696160 2045993 2205008 2756260 4091986 4410016 5512520 8183972 10229965 11025040 16367944 20459930 22050080 26597909 32735888 40919860 53195818 65471776 81839720 106391636 132989545 163679440 212783272 265979090 327358880 425566544 531958180 851133088 1063916360 2127832720 4255665440