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4949514240 = 211351197151
BaseRepresentation
bin1001001110000001…
…11001100000000000
3110202221101101010020
410213000321200000
540114033423430
62135045133440
7233440114446
oct44700714000
913687341106
104949514240
11210a965340
12b616ba280
1360b563368
1434d4bcb96
151de7d2b10
hex127039800

4949514240 has 384 divisors, whose sum is σ = 17567746560. Its totient is φ = 1179648000.

The previous prime is 4949514239. The next prime is 4949514247. The reversal of 4949514240 is 424159494.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4949514192 and 4949514201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4949514247) 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, 32778165 + ... + 32778315.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 24949514240 is an apocalyptic number.

4949514240 is a gapful number since it is divisible by the number (40) 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 4949514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783873280).

4949514240 is an abundant number, since it is smaller than the sum of its proper divisors (12618232320).

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

4949514240 is a wasteful number, since it uses less digits than its factorization.

4949514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4949514240 is about 70352.7841666554. The cubic root of 4949514240 is about 1704.2011708976.

The spelling of 4949514240 in words is "four billion, nine hundred forty-nine million, five hundred fourteen thousand, two hundred forty".