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4402325040 = 243537349177
BaseRepresentation
bin1000001100110011…
…00010011000110000
3102100210202021122120
410012121202120300
533003443400130
62004501034240
7214044100611
oct40631423060
912323667576
104402325040
111959aa7a63
12a2a3b5980
13552098379
142da961c08
151ab747910
hex106662630

4402325040 has 80 divisors (see below), whose sum is σ = 13684073568. Its totient is φ = 1170782208.

The previous prime is 4402325029. The next prime is 4402325071. The reversal of 4402325040 is 405232044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44023250402 = 38760931515622003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4402325040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64932 + ... + 114108.

Almost surely, 24402325040 is an apocalyptic number.

4402325040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842036784).

4402325040 is an abundant number, since it is smaller than the sum of its proper divisors (9281748528).

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

4402325040 is a wasteful number, since it uses less digits than its factorization.

4402325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49566 (or 49560 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4402325040 is about 66350.0191409166. The cubic root of 4402325040 is about 1638.9311198813.

Adding to 4402325040 its reverse (405232044), we get a palindrome (4807557084).

The spelling of 4402325040 in words is "four billion, four hundred two million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1492 1865 2238 2984 3730 4476 5595 5968 7460 8952 11190 14920 17904 22380 29840 44760 49177 89520 98354 147531 196708 245885 295062 393416 491770 590124 737655 786832 983540 1180248 1475310 1967080 2360496 2950620 3934160 5901240 11802480 18343021 36686042 55029063 73372084 91715105 110058126 146744168 183430210 220116252 275145315 293488336 366860420 440232504 550290630 733720840 880465008 1100581260 1467441680 2201162520 4402325040