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506824493 = 7241252277
BaseRepresentation
bin11110001101011…
…000011100101101
31022022200100111112
4132031120130231
52014221340433
6122143001405
715362636300
oct3615303455
91268610445
10506824493
112400a881a
12121899265
1381004466
144b450b37
152e765348
hex1e35872d

506824493 has 12 divisors (see below), whose sum is σ = 603953532. Its totient is φ = 423823680.

The previous prime is 506824463. The next prime is 506824501. The reversal of 506824493 is 394428605.

It can be written as a sum of positive squares in 2 ways, for example, as 83576164 + 423248329 = 9142^2 + 20573^2 .

It is not a de Polignac number, because 506824493 - 26 = 506824429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 506824493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506824463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124130 + ... + 128147.

It is an arithmetic number, because the mean of its divisors is an integer number (50329461).

Almost surely, 2506824493 is an apocalyptic number.

It is an amenable number.

506824493 is a deficient number, since it is larger than the sum of its proper divisors (97129039).

506824493 is a wasteful number, since it uses less digits than its factorization.

506824493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252332 (or 252325 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 506824493 is about 22512.7628913023. The cubic root of 506824493 is about 797.2952894187.

The spelling of 506824493 in words is "five hundred six million, eight hundred twenty-four thousand, four hundred ninety-three".

Divisors: 1 7 41 49 287 2009 252277 1765939 10343357 12361573 72403499 506824493