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8242377 = 3111319213
BaseRepresentation
bin11111011100010011001001
3120111202102020
4133130103021
54102224002
6452355053
7130026153
oct37342311
916452366
108242377
11471a690
122915a89
131927860
141147ad3
15acc2bc
hex7dc4c9

8242377 has 16 divisors (see below), whose sum is σ = 12911808. Its totient is φ = 4610880.

The previous prime is 8242363. The next prime is 8242411. The reversal of 8242377 is 7732428.

8242377 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8242377 - 24 = 8242361 is a prime.

It is a super-2 number, since 2×82423772 = 135873557220258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

8242377 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8242327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9178 + ... + 10035.

It is an arithmetic number, because the mean of its divisors is an integer number (806988).

Almost surely, 28242377 is an apocalyptic number.

It is an amenable number.

8242377 is a deficient number, since it is larger than the sum of its proper divisors (4669431).

8242377 is a wasteful number, since it uses less digits than its factorization.

8242377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19240.

The product of its digits is 18816, while the sum is 33.

The square root of 8242377 is about 2870.9540226204. The cubic root of 8242377 is about 201.9997467565. Note that the first 3 decimals are identical.

The spelling of 8242377 in words is "eight million, two hundred forty-two thousand, three hundred seventy-seven".

Divisors: 1 3 11 13 33 39 143 429 19213 57639 211343 249769 634029 749307 2747459 8242377