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4204042440 = 2335132694899
BaseRepresentation
bin1111101010010100…
…1001100011001000
3101211222122111001120
43322211021203020
532102213324230
61533055115240
7206115525333
oct37245114310
911758574046
104204042440
111868088344
12993b12b20
1351cc929a0
142bc4a961a
1519912c310
hexfa9498c8

4204042440 has 64 divisors (see below), whose sum is σ = 13582296000. Its totient is φ = 1034840832.

The previous prime is 4204042439. The next prime is 4204042441. The reversal of 4204042440 is 442404024.

It is an interprime number because it is at equal distance from previous prime (4204042439) and next prime (4204042441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4204042440.

It is not an unprimeable number, because it can be changed into a prime (4204042441) 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, 1345890 + ... + 1349009.

It is an arithmetic number, because the mean of its divisors is an integer number (212223375).

Almost surely, 24204042440 is an apocalyptic number.

4204042440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4204042440 is an abundant number, since it is smaller than the sum of its proper divisors (9378253560).

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

4204042440 is a wasteful number, since it uses less digits than its factorization.

4204042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694926 (or 2694922 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4204042440 is about 64838.5875848634. The cubic root of 4204042440 is about 1613.9461140491.

Adding to 4204042440 its reverse (442404024), we get a palindrome (4646446464).

The spelling of 4204042440 in words is "four billion, two hundred four million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2694899 5389798 8084697 10779596 13474495 16169394 21559192 26948990 32338788 35033687 40423485 53897980 64677576 70067374 80846970 105101061 107795960 140134748 161693940 175168435 210202122 280269496 323387880 350336870 420404244 525505305 700673740 840808488 1051010610 1401347480 2102021220 4204042440