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480232782 = 232716132
BaseRepresentation
bin11100100111111…
…100010101001110
31020110122100112100
4130213330111032
51440414422112
6115353015530
714620624401
oct3447742516
91213570470
10480232782
11227095aa7
121149b45a6
1378653913
1447acbd38
152c2612dc
hex1c9fc54e

480232782 has 36 divisors (see below), whose sum is σ = 1056883464. Its totient is φ = 157565520.

The previous prime is 480232759. The next prime is 480232787. The reversal of 480232782 is 287232084.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480232787) 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 17 ways as a sum of consecutive naturals, for example, 783108 + ... + 783720.

It is an arithmetic number, because the mean of its divisors is an integer number (29357874).

Almost surely, 2480232782 is an apocalyptic number.

480232782 is an abundant number, since it is smaller than the sum of its proper divisors (576650682).

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

480232782 is an equidigital number, since it uses as much as digits as its factorization.

480232782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 480232782 is about 21914.2141542881. The cubic root of 480232782 is about 783.1000787118.

It can be divided in two parts, 48023 and 2782, that added together give a palindrome (50805).

The spelling of 480232782 in words is "four hundred eighty million, two hundred thirty-two thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 613 639 1226 1278 1839 3678 5517 11034 43523 87046 130569 261138 375769 391707 751538 783414 1127307 2254614 3381921 6763842 26679599 53359198 80038797 160077594 240116391 480232782