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498379392 = 273672109
BaseRepresentation
bin11101101101001…
…010101010000000
31021201210022000000
4131231022222000
52010041120032
6121242000000
715231104100
oct3555125200
91251708000
10498379392
1123635a8a5
1211aaa6000
137c338564
144a293200
152db47e7c
hex1db4aa80

498379392 has 336 divisors, whose sum is σ = 1747543050. Its totient is φ = 141087744.

The previous prime is 498379391. The next prime is 498379397. The reversal of 498379392 is 293973894.

It can be written as a sum of positive squares in only one way, i.e., 386358336 + 112021056 = 19656^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (498379391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4572234 + ... + 4572342.

Almost surely, 2498379392 is an apocalyptic number.

498379392 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 498379392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873771525).

498379392 is an abundant number, since it is smaller than the sum of its proper divisors (1249163658).

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

498379392 is an equidigital number, since it uses as much as digits as its factorization.

498379392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 498379392 is about 22324.4124670729. The cubic root of 498379392 is about 792.8420795636.

The spelling of 498379392 in words is "four hundred ninety-eight million, three hundred seventy-nine thousand, three hundred ninety-two".