[go: up one dir, main page]

Search a number
-
+
42376776 = 23313711913
BaseRepresentation
bin1010000110100…
…1111001001000
32221201222000020
42201221321020
541322024101
64112140440
71023124311
oct241517110
987658006
1042376776
1121a14332
1212237720
138a19620
1458b1608
153ac1136
hex2869e48

42376776 has 64 divisors (see below), whose sum is σ = 115758720. Its totient is φ = 12848640.

The previous prime is 42376771. The next prime is 42376781. The reversal of 42376776 is 67767324.

It is an interprime number because it is at equal distance from previous prime (42376771) and next prime (42376781).

It is a super-2 number, since 2×423767762 = 3591582288308352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42376771) 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, 21196 + ... + 23108.

It is an arithmetic number, because the mean of its divisors is an integer number (1808730).

Almost surely, 242376776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42376776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57879360).

42376776 is an abundant number, since it is smaller than the sum of its proper divisors (73381944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42376776 is a wasteful number, since it uses less digits than its factorization.

42376776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2002 counting only the distinct ones).

The product of its digits is 296352, while the sum is 42.

The square root of 42376776 is about 6509.7446954547. The cubic root of 42376776 is about 348.6390029726.

The spelling of 42376776 in words is "forty-two million, three hundred seventy-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 852 923 1704 1846 1913 2769 3692 3826 5538 5739 7384 7652 11076 11478 15304 22152 22956 24869 45912 49738 74607 99476 135823 149214 198952 271646 298428 407469 543292 596856 814938 1086584 1629876 1765699 3259752 3531398 5297097 7062796 10594194 14125592 21188388 42376776