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2425979424 = 2531117337401
BaseRepresentation
bin1001000010011001…
…1000001000100000
320021001220112010210
42100212120020200
514432022320144
61040421054120
7114055325211
oct22046301040
96231815123
102425979424
111035447280
12578557340
132c87b38ab
141902a3408
15e2ea8ab9
hex90998220

2425979424 has 192 divisors, whose sum is σ = 7396002432. Its totient is φ = 688128000.

The previous prime is 2425979419. The next prime is 2425979443. The reversal of 2425979424 is 4249795242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6049624 + ... + 6050024.

It is an arithmetic number, because the mean of its divisors is an integer number (38520846).

Almost surely, 22425979424 is an apocalyptic number.

2425979424 is a gapful number since it is divisible by the number (24) 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 2425979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698001216).

2425979424 is an abundant number, since it is smaller than the sum of its proper divisors (4970023008).

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

2425979424 is a wasteful number, since it uses less digits than its factorization.

2425979424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 2425979424 is about 49254.2325490917. The cubic root of 2425979424 is about 1343.6795402348.

The spelling of 2425979424 in words is "two billion, four hundred twenty-five million, nine hundred seventy-nine thousand, four hundred twenty-four".