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9052323840 = 2153257877
BaseRepresentation
bin10000110111000111…
…11000000000000000
3212100212112200211100
420123203320000000
5122014343330330
64054130414400
7440216324460
oct103343700000
925325480740
109052323840
11392588997a
121907731400
13b13570351
1461c355ba0
1537eab5060
hex21b8f8000

9052323840 has 384 divisors, whose sum is σ = 35904791520. Its totient is φ = 2066743296.

The previous prime is 9052323823. The next prime is 9052323851. The reversal of 9052323840 is 483232509.

9052323840 is a `hidden beast` number, since 90 + 523 + 2 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 9052323795 and 9052323804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10321482 + ... + 10322358.

Almost surely, 29052323840 is an apocalyptic number.

9052323840 is a gapful number since it is divisible by the number (90) 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 9052323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952395760).

9052323840 is an abundant number, since it is smaller than the sum of its proper divisors (26852467680).

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

9052323840 is an equidigital number, since it uses as much as digits as its factorization.

9052323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9052323840 is about 95143.7010001188. The cubic root of 9052323840 is about 2084.1070724027.

The spelling of 9052323840 in words is "nine billion, fifty-two million, three hundred twenty-three thousand, eight hundred forty".