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2426000384 = 21013717293
BaseRepresentation
bin1001000010011001…
…1101010000000000
320021001221120220002
42100212131100000
514432024003014
61040421335132
7114055443263
oct22046352000
96231846802
102426000384
111035460aa5
125785674a8
132c87c02b2
141902aacda
15e2eaedde
hex9099d400

2426000384 has 44 divisors (see below), whose sum is σ = 4885312884. Its totient is φ = 1204076544.

The previous prime is 2426000347. The next prime is 2426000411. The reversal of 2426000384 is 4830006242.

It can be written as a sum of positive squares in 2 ways, for example, as 639078400 + 1786921984 = 25280^2 + 42272^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131642 + ... + 148934.

Almost surely, 22426000384 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 2426000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442656442).

2426000384 is an abundant number, since it is smaller than the sum of its proper divisors (2459312500).

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

2426000384 is a wasteful number, since it uses less digits than its factorization.

2426000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17450 (or 17432 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2426000384 is about 49254.4453222245. The cubic root of 2426000384 is about 1343.6834099354.

The spelling of 2426000384 in words is "two billion, four hundred twenty-six million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 2192 4384 8768 17293 17536 34586 35072 69172 70144 138344 140288 276688 553376 1106752 2213504 2369141 4427008 4738282 8854016 9476564 17708032 18953128 37906256 75812512 151625024 303250048 606500096 1213000192 2426000384