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4949864640 = 26345727281
BaseRepresentation
bin1001001110000100…
…01111000011000000
3110202222001011210000
410213002033003000
540114131132030
62135100440000
7233443104150
oct44702170300
913688034700
104949864640
112110084626
12b61849000
1360b6569b6
1434d570760
151de851860
hex12708f0c0

4949864640 has 280 divisors, whose sum is σ = 20123639712. Its totient is φ = 1131356160.

The previous prime is 4949864639. The next prime is 4949864651. The reversal of 4949864640 is 464689494.

It is a happy number.

4949864640 is a `hidden beast` number, since 4 + 94 + 98 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167800 + ... + 195080.

Almost surely, 24949864640 is an apocalyptic number.

4949864640 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 4949864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061819856).

4949864640 is an abundant number, since it is smaller than the sum of its proper divisors (15173775072).

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

4949864640 is a wasteful number, since it uses less digits than its factorization.

4949864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27317 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4949864640 is about 70355.2744291428. The cubic root of 4949864640 is about 1704.2413861571.

The spelling of 4949864640 in words is "four billion, nine hundred forty-nine million, eight hundred sixty-four thousand, six hundred forty".