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42271044 = 22317353587
BaseRepresentation
bin1010000101000…
…0000101000100
32221112120222020
42201100011010
541310133134
64110003140
71022204124
oct241200504
987476866
1042271044
1121951952
12121a64b0
1389b046a
145884c84
153a9eb49
hex2850144

42271044 has 48 divisors (see below), whose sum is σ = 104908608. Its totient is φ = 13201408.

The previous prime is 42271043. The next prime is 42271049. The reversal of 42271044 is 44017224.

42271044 = T21 + T22 + ... + T632.

It is not an unprimeable number, because it can be changed into a prime (42271043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71719 + ... + 72305.

It is an arithmetic number, because the mean of its divisors is an integer number (2185596).

Almost surely, 242271044 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 42271044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52454304).

42271044 is an abundant number, since it is smaller than the sum of its proper divisors (62637564).

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

42271044 is a wasteful number, since it uses less digits than its factorization.

42271044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 42271044 is about 6501.6185677107. The cubic root of 42271044 is about 348.3488047177.

Adding to 42271044 its reverse (44017224), we get a palindrome (86288268).

The spelling of 42271044 in words is "forty-two million, two hundred seventy-one thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 353 587 706 1059 1174 1412 1761 2118 2348 3522 4236 6001 7044 9979 12002 18003 19958 24004 29937 36006 39916 59874 72012 119748 207211 414422 621633 828844 1243266 2486532 3522587 7045174 10567761 14090348 21135522 42271044