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497372148 = 2232721323241
BaseRepresentation
bin11101101001010…
…100101111110100
31021122220010022200
4131221110233310
52004311402043
6121204224500
715216410400
oct3551245764
91248803280
10497372148
11235832069
1211a69b130
137c074c60
144a0b0100
152d9e97d3
hex1da54bf4

497372148 has 324 divisors, whose sum is σ = 1686625668. Its totient is φ = 122411520.

The previous prime is 497372147. The next prime is 497372149. The reversal of 497372148 is 841273794.

It is an interprime number because it is at equal distance from previous prime (497372147) and next prime (497372149).

It can be written as a sum of positive squares in 2 ways, for example, as 45724644 + 451647504 = 6762^2 + 21252^2 .

It is a super-2 number, since 2×4973721482 = 494758107212267808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497372147) 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 107 ways as a sum of consecutive naturals, for example, 12131008 + ... + 12131048.

Almost surely, 2497372148 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 497372148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843312834).

497372148 is an abundant number, since it is smaller than the sum of its proper divisors (1189253520).

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

497372148 is a wasteful number, since it uses less digits than its factorization.

497372148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 497372148 is about 22301.8418073486. The cubic root of 497372148 is about 792.3075978441.

The spelling of 497372148 in words is "four hundred ninety-seven million, three hundred seventy-two thousand, one hundred forty-eight".