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2058808752 = 243571113232
BaseRepresentation
bin111101010110110…
…1110110110110000
312022111000022200000
41322231232312300
513204023340002
6540143230000
7102006404610
oct17255566660
95274008600
102058808752
11967164540
124955a8300
1326a6c8040
14157606a40
15c0b2c61c
hex7ab6edb0

2058808752 has 720 divisors, whose sum is σ = 8386629888. Its totient is φ = 472158720.

The previous prime is 2058808747. The next prime is 2058808757. The reversal of 2058808752 is 2578088502.

It is an interprime number because it is at equal distance from previous prime (2058808747) and next prime (2058808757).

It is a junction number, because it is equal to n+sod(n) for n = 2058808698 and 2058808707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058808757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89513413 + ... + 89513435.

Almost surely, 22058808752 is an apocalyptic number.

2058808752 is a gapful number since it is divisible by the number (22) 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 2058808752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193314944).

2058808752 is an abundant number, since it is smaller than the sum of its proper divisors (6327821136).

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

2058808752 is a wasteful number, since it uses less digits than its factorization.

2058808752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2058808752 is about 45374.0978092127. The cubic root of 2058808752 is about 1272.1510144664.

The spelling of 2058808752 in words is "two billion, fifty-eight million, eight hundred eight thousand, seven hundred fifty-two".