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4492959744 = 2133731341
BaseRepresentation
bin1000010111100110…
…10010000000000000
3102121010022000002110
410023303102000000
533200144202434
62021455415320
7216224346000
oct41363220000
912533260073
104492959744
1119a6182179
12a54824540
13567ab0180
143089d6000
151b469c4e9
hex10bcd2000

4492959744 has 448 divisors, whose sum is σ = 15413126400. Its totient is φ = 1156055040.

The previous prime is 4492959743. The next prime is 4492959761. The reversal of 4492959744 is 4479592944.

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

It is a super-2 number, since 2×44929597442 = 40373374522409091072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492959743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109584364 + ... + 109584404.

It is an arithmetic number, because the mean of its divisors is an integer number (34404300).

Almost surely, 24492959744 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 4492959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706563200).

4492959744 is an abundant number, since it is smaller than the sum of its proper divisors (10920166656).

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

4492959744 is an equidigital number, since it uses as much as digits as its factorization.

4492959744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 4492959744 is about 67029.5438146494. The cubic root of 4492959744 is about 1650.1021967922.

The spelling of 4492959744 in words is "four billion, four hundred ninety-two million, nine hundred fifty-nine thousand, seven hundred forty-four".