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484928920 = 23572337433
BaseRepresentation
bin11100111001110…
…110110110011000
31020210110221102101
4130321312312120
51443120211140
6120041413144
715005553640
oct3471666630
91223427371
10484928920
11229803303
1211649a1b4
13796092b8
1448591520
152c88c99a
hex1ce76d98

484928920 has 64 divisors (see below), whose sum is σ = 1252480320. Its totient is φ = 165525504.

The previous prime is 484928903. The next prime is 484928921. The reversal of 484928920 is 29829484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484928921) 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 15 ways as a sum of consecutive naturals, for example, 61524 + ... + 68956.

It is an arithmetic number, because the mean of its divisors is an integer number (19570005).

Almost surely, 2484928920 is an apocalyptic number.

484928920 is a gapful number since it is divisible by the number (40) 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 484928920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626240160).

484928920 is an abundant number, since it is smaller than the sum of its proper divisors (767551400).

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

484928920 is a wasteful number, since it uses less digits than its factorization.

484928920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 484928920 is about 22021.1016981440. The cubic root of 484928920 is about 785.6444165498.

The spelling of 484928920 in words is "four hundred eighty-four million, nine hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 2330 3262 4660 6524 7433 8155 9320 13048 14866 16310 29732 32620 37165 52031 59464 65240 74330 104062 148660 208124 260155 297320 416248 520310 1040620 1731889 2081240 3463778 6927556 8659445 12123223 13855112 17318890 24246446 34637780 48492892 60616115 69275560 96985784 121232230 242464460 484928920