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2049363940 = 225131719231061
BaseRepresentation
bin111101000100110…
…1100111111100100
312021211020110211011
41322021230333210
513144114121230
6535204552004
7101533206661
oct17211547744
95254213734
102049363940
119618a3508
124923b2604
1326876c0b0
14156268a68
15bedb3e2a
hex7a26cfe4

2049363940 has 192 divisors, whose sum is σ = 5395299840. Its totient is φ = 644751360.

The previous prime is 2049363937. The next prime is 2049363949. The reversal of 2049363940 is 493639402.

It is a junction number, because it is equal to n+sod(n) for n = 2049363893 and 2049363902.

It is not an unprimeable number, because it can be changed into a prime (2049363949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1931010 + ... + 1932070.

It is an arithmetic number, because the mean of its divisors is an integer number (28100520).

Almost surely, 22049363940 is an apocalyptic number.

2049363940 is a gapful number since it is divisible by the number (20) 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 2049363940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697649920).

2049363940 is an abundant number, since it is smaller than the sum of its proper divisors (3345935900).

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

2049363940 is a wasteful number, since it uses less digits than its factorization.

2049363940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 2049363940 is about 45269.9010381070. The cubic root of 2049363940 is about 1270.2026956529.

The spelling of 2049363940 in words is "two billion, forty-nine million, three hundred sixty-three thousand, nine hundred forty".