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2993927520 = 253529375813
BaseRepresentation
bin1011001001110011…
…1011010101100000
321201122121021110110
42302130323111200
522112421140040
61213030131320
7134122651443
oct26234732540
97648537413
102993927520
1112a6aa3071
126b67b0b40
1338936955c
142058a565a
15127c94980
hexb273b560

2993927520 has 192 divisors, whose sum is σ = 10021475520. Its totient is φ = 749887488.

The previous prime is 2993927509. The next prime is 2993927537. The reversal of 2993927520 is 257293992.

It is a happy number.

2993927520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2993927520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512134 + ... + 517946.

It is an arithmetic number, because the mean of its divisors is an integer number (52195185).

Almost surely, 22993927520 is an apocalyptic number.

2993927520 is a gapful number since it is divisible by the number (20) 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 2993927520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010737760).

2993927520 is an abundant number, since it is smaller than the sum of its proper divisors (7027548000).

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

2993927520 is a wasteful number, since it uses less digits than its factorization.

2993927520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 2993927520 is about 54716.7937657169. The cubic root of 2993927520 is about 1441.2757983581.

The spelling of 2993927520 in words is "two billion, nine hundred ninety-three million, nine hundred twenty-seven thousand, five hundred twenty".