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497968933 = 71114334513
BaseRepresentation
bin11101101011100…
…110011100100101
31021201000102221211
4131223212130211
52004440001213
6121225111421
715224444320
oct3553463445
91251012854
10497968933
112360aa480
1211a928571
137c223797
144a1c77b7
152dab653d
hex1dae6725

497968933 has 16 divisors (see below), whose sum is σ = 621415296. Its totient is φ = 387671040.

The previous prime is 497968907. The next prime is 497968949. The reversal of 497968933 is 339869794.

It is a cyclic number.

It is not a de Polignac number, because 497968933 - 221 = 495871781 is a prime.

It is a super-3 number, since 3×4979689333 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497968963) 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 15 ways as a sum of consecutive naturals, for example, 108085 + ... + 112597.

It is an arithmetic number, because the mean of its divisors is an integer number (38838456).

Almost surely, 2497968933 is an apocalyptic number.

It is an amenable number.

497968933 is a deficient number, since it is larger than the sum of its proper divisors (123446363).

497968933 is a wasteful number, since it uses less digits than its factorization.

497968933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964.

The product of its digits is 8817984, while the sum is 58.

The square root of 497968933 is about 22315.2175207861. The cubic root of 497968933 is about 792.6243615272.

The spelling of 497968933 in words is "four hundred ninety-seven million, nine hundred sixty-eight thousand, nine hundred thirty-three".

Divisors: 1 7 11 77 1433 4513 10031 15763 31591 49643 110341 347501 6467129 45269903 71138419 497968933