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4780487040 = 2735741761
BaseRepresentation
bin1000111001111000…
…00111000110000000
3110100011022220101120
410130330013012000
534242301041130
62110210232240
7226315320000
oct43474070600
913304286346
104780487040
11203350773a
12b14b85680
135b2531a74
14334c80000
151cea45910
hex11cf07180

4780487040 has 640 divisors, whose sum is σ = 19130605920. Its totient is φ = 1011548160.

The previous prime is 4780487021. The next prime is 4780487053. The reversal of 4780487040 is 407840874.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4780486983 and 4780487001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78368610 + ... + 78368670.

Almost surely, 24780487040 is an apocalyptic number.

4780487040 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 4780487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565302960).

4780487040 is an abundant number, since it is smaller than the sum of its proper divisors (14350118880).

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

4780487040 is an equidigital number, since it uses as much as digits as its factorization.

4780487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 4780487040 is about 69141.0662341853. The cubic root of 4780487040 is about 1684.5764111768.

The spelling of 4780487040 in words is "four billion, seven hundred eighty million, four hundred eighty-seven thousand, forty".