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482254700928 = 273721113217811
BaseRepresentation
bin1110000010010001001…
…11101100000110000000
31201002210011022010012120
413001020213230012000
530400124200412203
61005313355524240
746561502215500
oct7011047540600
91632704263176
10482254700928
1117658322a680
127956a159680
1336626917800
14194ac577a00
15c827cdbb53
hex70489ec180

482254700928 has 1152 divisors, whose sum is σ = 1866104231040. Its totient is φ = 108689817600.

The previous prime is 482254700927. The next prime is 482254700947. The reversal of 482254700928 is 829007452284.

It is a super-2 number, since 2×4822547009282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482254700923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 594641643 + ... + 594642453.

It is an arithmetic number, because the mean of its divisors is an integer number (1619882145).

Almost surely, 2482254700928 is an apocalyptic number.

482254700928 is a gapful number since it is divisible by the number (48) 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 482254700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933052115520).

482254700928 is an abundant number, since it is smaller than the sum of its proper divisors (1383849530112).

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

482254700928 is a wasteful number, since it uses less digits than its factorization.

482254700928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 482254700928 in words is "four hundred eighty-two billion, two hundred fifty-four million, seven hundred thousand, nine hundred twenty-eight".