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4054452240 = 243516893551
BaseRepresentation
bin1111000110101010…
…0000100000010000
3101110120011111212210
43301222200200100
531300414432430
61510152552120
7202321163316
oct36152404020
911416144783
104054452240
1117a06a5a83
129519b2640
134c7ca8487
142a668a0b6
1518ae2e2b0
hexf1aa0810

4054452240 has 40 divisors (see below), whose sum is σ = 12568802688. Its totient is φ = 1081187200.

The previous prime is 4054452229. The next prime is 4054452257. The reversal of 4054452240 is 422544504.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 4054452198 and 4054452207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8446536 + ... + 8447015.

Almost surely, 24054452240 is an apocalyptic number.

4054452240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4054452240 is an abundant number, since it is smaller than the sum of its proper divisors (8514350448).

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

4054452240 is a wasteful number, since it uses less digits than its factorization.

4054452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16893567 (or 16893561 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4054452240 is about 63674.5807995624. The cubic root of 4054452240 is about 1594.5717399892.

Adding to 4054452240 its reverse (422544504), we get a palindrome (4476996744).

The spelling of 4054452240 in words is "four billion, fifty-four million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16893551 33787102 50680653 67574204 84467755 101361306 135148408 168935510 202722612 253403265 270296816 337871020 405445224 506806530 675742040 810890448 1013613060 1351484080 2027226120 4054452240