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4947710040 = 2334571397173
BaseRepresentation
bin1001001101110100…
…00001000001011000
3110202210222201020000
410212322001001120
540113103210130
62134542333000
7233415561420
oct44672010130
913683881200
104947710040
112109942869
12b60b8a160
1360b0810a0
1434d16d480
151de578260
hex126e81058

4947710040 has 640 divisors, whose sum is σ = 20797983360. Its totient is φ = 1027178496.

The previous prime is 4947710023. The next prime is 4947710051. The reversal of 4947710040 is 400177494.

4947710040 is a `hidden beast` number, since 49 + 477 + 100 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4947709977 and 4947710004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28599394 + ... + 28599566.

It is an arithmetic number, because the mean of its divisors is an integer number (32496849).

Almost surely, 24947710040 is an apocalyptic number.

4947710040 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 4947710040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398991680).

4947710040 is an abundant number, since it is smaller than the sum of its proper divisors (15850273320).

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

4947710040 is a wasteful number, since it uses less digits than its factorization.

4947710040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4947710040 is about 70339.9604776687. The cubic root of 4947710040 is about 1703.9940735759.

The spelling of 4947710040 in words is "four billion, nine hundred forty-seven million, seven hundred ten thousand, forty".