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6424283040 = 2535719103977
BaseRepresentation
bin1011111101110101…
…01100011110100000
3121120201102101120220
411332322230132200
5101124104024130
62541250403040
7315125335110
oct57672543640
917521371526
106424283040
1127a7381a2a
1212b3590480
137b4c60116
1444d2d5040
15278ee6410
hex17eeac7a0

6424283040 has 384 divisors, whose sum is σ = 24606167040. Its totient is φ = 1376206848.

The previous prime is 6424283023. The next prime is 6424283053. The reversal of 6424283040 is 403824246.

It is a junction number, because it is equal to n+sod(n) for n = 6424282992 and 6424283010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6575032 + ... + 6576008.

It is an arithmetic number, because the mean of its divisors is an integer number (64078560).

Almost surely, 26424283040 is an apocalyptic number.

6424283040 is a gapful number since it is divisible by the number (60) 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 6424283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303083520).

6424283040 is an abundant number, since it is smaller than the sum of its proper divisors (18181884000).

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

6424283040 is a wasteful number, since it uses less digits than its factorization.

6424283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 6424283040 is about 80151.6253110316. The cubic root of 6424283040 is about 1858.9807341871.

The spelling of 6424283040 in words is "six billion, four hundred twenty-four million, two hundred eighty-three thousand, forty".