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4005444060 = 2233520533613
BaseRepresentation
bin1110111010111110…
…0011100111011100
3101100010221122022000
43232233203213130
531200343202220
61501242322300
7201154466322
oct35657434734
911303848260
104005444060
111775a72452
129394b9390
134baaa9657
1429dd6dd12
1518699d390
hexeebe39dc

4005444060 has 96 divisors (see below), whose sum is σ = 12470902080. Its totient is φ = 1067302656.

The previous prime is 4005444059. The next prime is 4005444061. The reversal of 4005444060 is 604445004.

It is an interprime number because it is at equal distance from previous prime (4005444059) and next prime (4005444061).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005444061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106814 + ... + 1110426.

It is an arithmetic number, because the mean of its divisors is an integer number (129905230).

Almost surely, 24005444060 is an apocalyptic number.

It is an amenable number.

4005444060 is an abundant number, since it is smaller than the sum of its proper divisors (8465458020).

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

4005444060 is a wasteful number, since it uses less digits than its factorization.

4005444060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4005444060 is about 63288.5776424151. The cubic root of 4005444060 is about 1588.1208843802.

Adding to 4005444060 its reverse (604445004), we get a palindrome (4609889064).

The spelling of 4005444060 in words is "four billion, five million, four hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2053 3613 4106 6159 7226 8212 10265 10839 12318 14452 18065 18477 20530 21678 24636 30795 32517 36130 36954 41060 43356 54195 55431 61590 65034 72260 73908 92385 97551 108390 110862 123180 130068 162585 184770 195102 216780 221724 277155 325170 369540 390204 487755 554310 650340 975510 1108620 1951020 7417489 14834978 22252467 29669956 37087445 44504934 66757401 74174890 89009868 111262335 133514802 148349780 200272203 222524670 267029604 333787005 400544406 445049340 667574010 801088812 1001361015 1335148020 2002722030 4005444060