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42376411 = 7113141433
BaseRepresentation
bin1010000110100…
…1110011011011
32221201221111201
42201221303123
541322021121
64112135031
71023123250
oct241516333
987657451
1042376411
1121a14030
1212237477
138a193cc
1458b1427
153ac0e91
hex2869cdb

42376411 has 32 divisors (see below), whose sum is σ = 55996416. Its totient is φ = 31104000.

The previous prime is 42376391. The next prime is 42376423. The reversal of 42376411 is 11467324.

It is a 10-Lehmer number, since φ(42376411) divides (42376411-1)10.

It is a cyclic number.

It is not a de Polignac number, because 42376411 - 27 = 42376283 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 42376411.

It is not an unprimeable number, because it can be changed into a prime (42376111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97651 + ... + 98083.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 242376411 is an apocalyptic number.

42376411 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42376411 is a deficient number, since it is larger than the sum of its proper divisors (13620005).

42376411 is a wasteful number, since it uses less digits than its factorization.

42376411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its digits is 4032, while the sum is 28.

The square root of 42376411 is about 6509.7166605007. The cubic root of 42376411 is about 348.6380020030.

It can be divided in two parts, 4237 and 6411, that added together give a cube (10648 = 223).

The spelling of 42376411 in words is "forty-two million, three hundred seventy-six thousand, four hundred eleven".

Divisors: 1 7 11 31 41 77 217 287 341 433 451 1271 2387 3031 3157 4763 8897 13423 13981 17753 33341 93961 97867 124271 147653 195283 550343 1033571 1366981 3852401 6053773 42376411