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4442739840 = 27355721153
BaseRepresentation
bin1000010001100111…
…01101010010000000
3102110121210120100000
410020303231102000
533044320133330
62012503200000
7215044444200
oct41063552200
912417716300
104442739840
11197a8a1220
12a3ba46000
1355a578956
14302082400
151b007c560
hex108ced480

4442739840 has 1152 divisors, whose sum is σ = 20570397120. Its totient is φ = 905748480.

The previous prime is 4442739817. The next prime is 4442739853. The reversal of 4442739840 is 489372444.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83825254 + ... + 83825306.

Almost surely, 24442739840 is an apocalyptic number.

4442739840 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 4442739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285198560).

4442739840 is an abundant number, since it is smaller than the sum of its proper divisors (16127657280).

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

4442739840 is a wasteful number, since it uses less digits than its factorization.

4442739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4442739840 is about 66653.8809072660. The cubic root of 4442739840 is about 1643.9311602056.

The spelling of 4442739840 in words is "four billion, four hundred forty-two million, seven hundred thirty-nine thousand, eight hundred forty".