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465232896 = 210347179
BaseRepresentation
bin11011101110101…
…110010000000000
31012102102021120000
4123232232100000
51423044423041
6114055320000
714346262062
oct3356562000
91172367500
10465232896
112196803a7
1210b980000
137550134b
1445b05732
152ac9bbb6
hex1bbae400

465232896 has 220 divisors, whose sum is σ = 1426677120. Its totient is φ = 150958080.

The previous prime is 465232853. The next prime is 465232913. The reversal of 465232896 is 698232564.

465232896 is a `hidden beast` number, since 46 + 523 + 2 + 89 + 6 = 666.

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 19 ways as a sum of consecutive naturals, for example, 5888985 + ... + 5889063.

It is an arithmetic number, because the mean of its divisors is an integer number (6484896).

Almost surely, 2465232896 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 465232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713338560).

465232896 is an abundant number, since it is smaller than the sum of its proper divisors (961444224).

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

465232896 is an equidigital number, since it uses as much as digits as its factorization.

465232896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 465232896 is about 21569.2581235424. The cubic root of 465232896 is about 774.8604096838.

The spelling of 465232896 in words is "four hundred sixty-five million, two hundred thirty-two thousand, eight hundred ninety-six".