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4444075395 = 335196128403
BaseRepresentation
bin1000010001110001…
…10011010110000011
3102110201022102101000
410020320303112003
533100140403040
62012551543043
7215062006014
oct41070632603
912421272330
104444075395
111980623691
12a4038aa83
1355a925816
1430230d00b
151b0243130
hex108e33583

4444075395 has 64 divisors (see below), whose sum is σ = 8453030400. Its totient is φ = 2208539520.

The previous prime is 4444075393. The next prime is 4444075397. The reversal of 4444075395 is 5935704444.

It is an interprime number because it is at equal distance from previous prime (4444075393) and next prime (4444075397).

It is not a de Polignac number, because 4444075395 - 21 = 4444075393 is a prime.

It is a super-3 number, since 3×44440753953 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4444075395.

It is not an unprimeable number, because it can be changed into a prime (4444075393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142264 + ... + 170666.

It is an arithmetic number, because the mean of its divisors is an integer number (132078600).

Almost surely, 24444075395 is an apocalyptic number.

4444075395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4444075395 is a deficient number, since it is larger than the sum of its proper divisors (4008955005).

4444075395 is a wasteful number, since it uses less digits than its factorization.

4444075395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28497 (or 28491 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4444075395 is about 66663.8987383726. The cubic root of 4444075395 is about 1644.0958739175.

The spelling of 4444075395 in words is "four billion, four hundred forty-four million, seventy-five thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 19 27 45 57 61 95 135 171 183 285 305 513 549 855 915 1159 1647 2565 2745 3477 5795 8235 10431 17385 28403 31293 52155 85209 142015 156465 255627 426045 539657 766881 1278135 1618971 1732583 2698285 3834405 4856913 5197749 8094855 8662915 14570739 15593247 24284565 25988745 32919077 46779741 72853695 77966235 98757231 164595385 233898705 296271693 493786155 888815079 1481358465 4444075395