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2030049756 = 2233719314797
BaseRepresentation
bin111100100000000…
…0001100111011100
312020110220012202000
41321000001213130
513124143043011
6533235002300
7101210065260
oct17100014734
95213805660
102030049756
11951a01479
12487a39390
13264768b97
1415387c0a0
15bd34b356
hex790019dc

2030049756 has 384 divisors, whose sum is σ = 6743654400. Its totient is φ = 515082240.

The previous prime is 2030049739. The next prime is 2030049761. The reversal of 2030049756 is 6579400302.

It is a super-2 number, since 2×20300497562 = 8242204023671319072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2030049756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20928300 + ... + 20928396.

It is an arithmetic number, because the mean of its divisors is an integer number (17561600).

Almost surely, 22030049756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030049756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371827200).

2030049756 is an abundant number, since it is smaller than the sum of its proper divisors (4713604644).

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

2030049756 is a wasteful number, since it uses less digits than its factorization.

2030049756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2030049756 is about 45056.0734640736. The cubic root of 2030049756 is about 1266.1997618339.

The spelling of 2030049756 in words is "two billion, thirty million, forty-nine thousand, seven hundred fifty-six".