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497476144 = 241115118719
BaseRepresentation
bin11101101001101…
…110001000110000
31021200002101222101
4131221232020300
52004323214034
6121210350144
715220322524
oct3551561060
91250071871
10497476144
112358a3210
1211a72b354
137c0b03a9
144a0d9d84
152da1a514
hex1da6e230

497476144 has 40 divisors (see below), whose sum is σ = 1058503680. Its totient is φ = 224616000.

The previous prime is 497476087. The next prime is 497476157. The reversal of 497476144 is 441674794.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 497476094 and 497476103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17217 + ... + 35935.

It is an arithmetic number, because the mean of its divisors is an integer number (26462592).

Almost surely, 2497476144 is an apocalyptic number.

497476144 is a gapful number since it is divisible by the number (44) 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 497476144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529251840).

497476144 is an abundant number, since it is smaller than the sum of its proper divisors (561027536).

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

497476144 is a wasteful number, since it uses less digits than its factorization.

497476144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18889 (or 18883 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 497476144 is about 22304.1732417949. The cubic root of 497476144 is about 792.3628154373.

It can be divided in two parts, 4974 and 76144, that added together give a palindrome (81118).

The spelling of 497476144 in words is "four hundred ninety-seven million, four hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 151 176 302 604 1208 1661 2416 3322 6644 13288 18719 26576 37438 74876 149752 205909 299504 411818 823636 1647272 2826569 3294544 5653138 11306276 22612552 31092259 45225104 62184518 124369036 248738072 497476144