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469732032 = 263272111789
BaseRepresentation
bin11011111111111…
…000101011000000
31012201212212012200
4123333320223000
51430222411112
6114335553200
714432441100
oct3377705300
91181785180
10469732032
112211736a0
1211138b800
1376418163
1446557200
152b389cdc
hex1bff8ac0

469732032 has 504 divisors, whose sum is σ = 1829440080. Its totient is φ = 113541120.

The previous prime is 469732031. The next prime is 469732061. The reversal of 469732032 is 230237964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (469732031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5277844 + ... + 5277932.

Almost surely, 2469732032 is an apocalyptic number.

469732032 is a gapful number since it is divisible by the number (42) 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 469732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914720040).

469732032 is an abundant number, since it is smaller than the sum of its proper divisors (1359708048).

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

469732032 is a wasteful number, since it uses less digits than its factorization.

469732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 469732032 is about 21673.3022864537. The cubic root of 469732032 is about 777.3502195252.

Adding to 469732032 its reverse (230237964), we get a palindrome (699969996).

The spelling of 469732032 in words is "four hundred sixty-nine million, seven hundred thirty-two thousand, thirty-two".