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498788640 = 25325727069
BaseRepresentation
bin11101101110101…
…110100100100000
31021202120002101100
4131232232210200
52010142214030
6121254434400
715234430200
oct3556564440
91252502340
10498788640
1123660a319
1211b062a00
137c44c90c
144a35c400
152dbc9360
hex1dbae920

498788640 has 216 divisors, whose sum is σ = 1980292860. Its totient is φ = 113992704.

The previous prime is 498788629. The next prime is 498788651. The reversal of 498788640 is 46887894.

498788640 is a `hidden beast` number, since 498 + 78 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (498788629) and next prime (498788651).

It can be written as a sum of positive squares in 2 ways, for example, as 488056464 + 10732176 = 22092^2 + 3276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67026 + ... + 74094.

Almost surely, 2498788640 is an apocalyptic number.

498788640 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 498788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990146430).

498788640 is an abundant number, since it is smaller than the sum of its proper divisors (1481504220).

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

498788640 is a wasteful number, since it uses less digits than its factorization.

498788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 498788640 is about 22333.5765160890. The cubic root of 498788640 is about 793.0590362754.

The spelling of 498788640 in words is "four hundred ninety-eight million, seven hundred eighty-eight thousand, six hundred forty".