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4490250240 = 211357219157
BaseRepresentation
bin1000010111010001…
…11100100000000000
3102120221012100100110
410023220330200000
533144001001430
62021321351320
7216162332400
oct41350744000
912527170313
104490250240
1119a46a1513
12a53938540
13567371b08
143084cc800
151b43147b0
hex10ba3c800

4490250240 has 576 divisors, whose sum is σ = 17702193600. Its totient is φ = 966131712.

The previous prime is 4490250229. The next prime is 4490250257. The reversal of 4490250240 is 420520944.

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 = 4490250198 and 4490250207.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 28600242 + ... + 28600398.

It is an arithmetic number, because the mean of its divisors is an integer number (30732975).

Almost surely, 24490250240 is an apocalyptic number.

4490250240 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 4490250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851096800).

4490250240 is an abundant number, since it is smaller than the sum of its proper divisors (13211943360).

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

4490250240 is a wasteful number, since it uses less digits than its factorization.

4490250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4490250240 is about 67009.3294997047. The cubic root of 4490250240 is about 1649.7704290337.

The spelling of 4490250240 in words is "four billion, four hundred ninety million, two hundred fifty thousand, two hundred forty".