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4995829440 = 2633571743113
BaseRepresentation
bin1001010011100011…
…00100111011000000
3110220011112102122000
410221301210323000
540212413020230
62143421544000
7234541564260
oct45161447300
913804472560
104995829440
112134019668
12b75115000
1361802b4c4
143556d77a0
151e38d0b60
hex129c64ec0

4995829440 has 896 divisors, whose sum is σ = 22015825920. Its totient is φ = 1040449536.

The previous prime is 4995829439. The next prime is 4995829451. The reversal of 4995829440 is 449285994.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44210824 + ... + 44210936.

Almost surely, 24995829440 is an apocalyptic number.

4995829440 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 4995829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007912960).

4995829440 is an abundant number, since it is smaller than the sum of its proper divisors (17019996480).

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

4995829440 is a wasteful number, since it uses less digits than its factorization.

4995829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 4995829440 is about 70681.1816539594. The cubic root of 4995829440 is about 1709.5003772739.

The spelling of 4995829440 in words is "four billion, nine hundred ninety-five million, eight hundred twenty-nine thousand, four hundred forty".