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4242439845 = 3257217113177
BaseRepresentation
bin1111110011011110…
…0111111010100101
3101221122220021101200
43330313213322211
532142031033340
61540550113113
7210063100200
oct37467477245
911848807350
104242439845
111887823936
129a494b799
13527c17c47
142c3622937
1519c6b4330
hexfcde7ea5

4242439845 has 72 divisors (see below), whose sum is σ = 9057408984. Its totient is φ = 1825302528.

The previous prime is 4242439843. The next prime is 4242439849. The reversal of 4242439845 is 5489342424.

It can be written as a sum of positive squares in 4 ways, for example, as 75220929 + 4167218916 = 8673^2 + 64554^2 .

It is not a de Polignac number, because 4242439845 - 21 = 4242439843 is a prime.

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 4242439845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242439843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19104 + ... + 94073.

It is an arithmetic number, because the mean of its divisors is an integer number (125797347).

Almost surely, 24242439845 is an apocalyptic number.

4242439845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4242439845 is an abundant number, since it is smaller than the sum of its proper divisors (4814969139).

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

4242439845 is a wasteful number, since it uses less digits than its factorization.

4242439845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113219 (or 113209 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4242439845 is about 65134.0145008735. The cubic root of 4242439845 is about 1618.8448612536.

The spelling of 4242439845 in words is "four billion, two hundred forty-two million, four hundred thirty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 357 441 595 735 765 833 1071 1785 2205 2499 4165 5355 7497 12495 37485 113177 339531 565885 792239 1018593 1697655 1924009 2376717 3961195 5092965 5545673 5772027 7130151 9620045 11883585 13468063 16637019 17316081 27728365 28860135 35650755 40404189 49911057 67340315 83185095 86580405 94276441 121212567 202020945 249555285 282829323 471382205 606062835 848487969 1414146615 4242439845