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498466272 = 253533132
BaseRepresentation
bin11101101101011…
…111110111100000
31021201221201011210
4131231133313200
52010101410042
6121243510120
715231615303
oct3555376740
91251851153
10498466272
1123640a0a7
1211ab28340
137c368c75
144a2b6b3a
152db63a9c
hex1db5fde0

498466272 has 72 divisors (see below), whose sum is σ = 1337435064. Its totient is φ = 162499584.

The previous prime is 498466271. The next prime is 498466301. The reversal of 498466272 is 272664894.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498466271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1592388 + ... + 1592700.

It is an arithmetic number, because the mean of its divisors is an integer number (18575487).

Almost surely, 2498466272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668717532).

498466272 is an abundant number, since it is smaller than the sum of its proper divisors (838968792).

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

498466272 is an equidigital number, since it uses as much as digits as its factorization.

498466272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 371 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 498466272 is about 22326.3582341590. The cubic root of 498466272 is about 792.8881476252. Note that the first 3 decimals are identical.

The spelling of 498466272 in words is "four hundred ninety-eight million, four hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 313 318 424 626 636 848 939 1252 1272 1696 1878 2504 2544 3756 5008 5088 7512 10016 15024 16589 30048 33178 49767 66356 97969 99534 132712 195938 199068 265424 293907 391876 398136 530848 587814 783752 796272 1175628 1567504 1592544 2351256 3135008 4702512 5192357 9405024 10384714 15577071 20769428 31154142 41538856 62308284 83077712 124616568 166155424 249233136 498466272