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4395361360 = 245134226309
BaseRepresentation
bin1000001011111101…
…11110010001010000
3102100022122111021111
410011332332101100
533000203030420
62004051503104
7213630645415
oct40576762120
912308574244
104395361360
111956081055
12a27bb7a94
135507ca850
142d9a6c10c
151aad1e45a
hex105fbe450

4395361360 has 40 divisors (see below), whose sum is σ = 11005311240. Its totient is φ = 1622902272.

The previous prime is 4395361337. The next prime is 4395361361. The reversal of 4395361360 is 631635934.

It can be written as a sum of positive squares in 4 ways, for example, as 752514624 + 3642846736 = 27432^2 + 60356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4395361361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112115 + ... + 2114194.

It is an arithmetic number, because the mean of its divisors is an integer number (275132781).

Almost surely, 24395361360 is an apocalyptic number.

4395361360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4395361360 is an abundant number, since it is smaller than the sum of its proper divisors (6609949880).

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

4395361360 is a wasteful number, since it uses less digits than its factorization.

4395361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226335 (or 4226329 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 4395361360 is about 66297.5215223013. The cubic root of 4395361360 is about 1638.0664998746.

It can be divided in two parts, 439536 and 1360, that added together give a square (440896 = 6642).

The spelling of 4395361360 in words is "four billion, three hundred ninety-five million, three hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 4226309 8452618 16905236 21131545 33810472 42263090 54942017 67620944 84526180 109884034 169052360 219768068 274710085 338104720 439536136 549420170 879072272 1098840340 2197680680 4395361360