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2049243840 = 263357311093
BaseRepresentation
bin111101000100100…
…1111101011000000
312021211000101002000
41322021033223000
513144101300330
6535202224000
7101532166560
oct17211175300
95254011060
102049243840
11961821256
12492355000
13268729527
14156236da0
15bed8d560
hex7a24fac0

2049243840 has 448 divisors, whose sum is σ = 8536350720. Its totient is φ = 452874240.

The previous prime is 2049243817. The next prime is 2049243881. The reversal of 2049243840 is 483429402.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2049243795 and 2049243804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874334 + ... + 1875426.

Almost surely, 22049243840 is an apocalyptic number.

2049243840 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 2049243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268175360).

2049243840 is an abundant number, since it is smaller than the sum of its proper divisors (6487106880).

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

2049243840 is a wasteful number, since it uses less digits than its factorization.

2049243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2049243840 is about 45268.5745302412. The cubic root of 2049243840 is about 1270.1778823729.

The spelling of 2049243840 in words is "two billion, forty-nine million, two hundred forty-three thousand, eight hundred forty".