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2424377088 = 2833789563
BaseRepresentation
bin1001000010000001…
…0000111100000000
320020221220010011000
42100200100330000
514431120031323
61040322452000
7114035602530
oct22040207400
96227803130
102424377088
111034552431
12577b04000
132c8372473
1418dda74c0
15e2c8de43
hex90810f00

2424377088 has 288 divisors, whose sum is σ = 8300275200. Its totient is φ = 683679744.

The previous prime is 2424377017. The next prime is 2424377141. The reversal of 2424377088 is 8807734242.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 4305895 + ... + 4306457.

It is an arithmetic number, because the mean of its divisors is an integer number (28820400).

Almost surely, 22424377088 is an apocalyptic number.

2424377088 is a gapful number since it is divisible by the number (28) 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 2424377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150137600).

2424377088 is an abundant number, since it is smaller than the sum of its proper divisors (5875898112).

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

2424377088 is an equidigital number, since it uses as much as digits as its factorization.

2424377088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2424377088 is about 49237.9638896655. The cubic root of 2424377088 is about 1343.3836459567.

The spelling of 2424377088 in words is "two billion, four hundred twenty-four million, three hundred seventy-seven thousand, eighty-eight".