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5852632320 = 28345192971
BaseRepresentation
bin1010111001101100…
…00001010100000000
3120002212202112020000
411130312001110000
543441233213240
62404430120000
7265014360663
oct53466012400
916085675200
105852632320
112533727317
121174050000
137236ac062
143d740b6da
15243c28430
hex15cd81500

5852632320 has 360 divisors, whose sum is σ = 22051407840. Its totient is φ = 1478062080.

The previous prime is 5852632297. The next prime is 5852632327. The reversal of 5852632320 is 232362585.

5852632320 is a `hidden beast` number, since 585 + 26 + 32 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852632327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1968435 + ... + 1971405.

Almost surely, 25852632320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5852632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025703920).

5852632320 is an abundant number, since it is smaller than the sum of its proper divisors (16198775520).

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

5852632320 is a wasteful number, since it uses less digits than its factorization.

5852632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5852632320 is about 76502.4987827195. The cubic root of 5852632320 is about 1802.1201684006.

The spelling of 5852632320 in words is "five billion, eight hundred fifty-two million, six hundred thirty-two thousand, three hundred twenty".