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4923997 = 132937353
BaseRepresentation
bin10010110010001001011101
3100021011110021
4102302021131
52230031442
6253312141
756565451
oct22621135
910234407
104923997
112863521
121795651
131035310
14922661
15673e67
hex4b225d

4923997 has 16 divisors (see below), whose sum is σ = 5649840. Its totient is φ = 4257792.

The previous prime is 4923979. The next prime is 4924013. The reversal of 4923997 is 7993294.

It can be written as a sum of positive squares in 8 ways, for example, as 36 + 4923961 = 6^2 + 2219^2 .

It is a 6-Lehmer number, since φ(4923997) divides (4923997-1)6.

It is a cyclic number.

It is not a de Polignac number, because 4923997 - 211 = 4921949 is a prime.

It is a d-powerful number, because it can be written as 44 + 9 + 217 + 314 + 93 + 94 + 74 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4923937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13773 + ... + 14125.

It is an arithmetic number, because the mean of its divisors is an integer number (353115).

Almost surely, 24923997 is an apocalyptic number.

It is an amenable number.

4923997 is a deficient number, since it is larger than the sum of its proper divisors (725843).

4923997 is a wasteful number, since it uses less digits than its factorization.

4923997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its digits is 122472, while the sum is 43.

The square root of 4923997 is about 2219.0081117472. The cubic root of 4923997 is about 170.1267451575.

It can be divided in two parts, 492 and 3997, that added together give a square (4489 = 672).

The spelling of 4923997 in words is "four million, nine hundred twenty-three thousand, nine hundred ninety-seven".

Divisors: 1 13 29 37 353 377 481 1073 4589 10237 13061 13949 133081 169793 378769 4923997