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4249248192 = 2632717471319
BaseRepresentation
bin1111110101000110…
…0110000111000000
3101222010201011200200
43331101212013000
532200301420232
61541352045200
7210205004460
oct37521460700
911863634620
104249248192
111890654072
129a7093800
1352945cb57
142c44b5ba0
1519d0ab77c
hexfd4661c0

4249248192 has 336 divisors, whose sum is σ = 15063459840. Its totient is φ = 1117495296.

The previous prime is 4249248191. The next prime is 4249248197. The reversal of 4249248192 is 2918429424.

4249248192 is a `hidden beast` number, since 42 + 49 + 2 + 481 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×42492481922 = 36112220394430537728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249248191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3220909 + ... + 3222227.

Almost surely, 24249248192 is an apocalyptic number.

4249248192 is a gapful number since it is divisible by the number (42) 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 4249248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531729920).

4249248192 is an abundant number, since it is smaller than the sum of its proper divisors (10814211648).

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

4249248192 is a wasteful number, since it uses less digits than its factorization.

4249248192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1395 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 4249248192 is about 65186.2576928604. The cubic root of 4249248192 is about 1619.7103826114.

The spelling of 4249248192 in words is "four billion, two hundred forty-nine million, two hundred forty-eight thousand, one hundred ninety-two".