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42568944 = 24311372179
BaseRepresentation
bin1010001001100…
…0110011110000
32222002201121120
42202120303300
541344201234
64120222240
71024554465
oct242306360
988081546
1042568944
1122035750
121230a980
138a85c32
14592166c
153b0d049
hex2898cf0

42568944 has 80 divisors (see below), whose sum is σ = 123265920. Its totient is φ = 12545280.

The previous prime is 42568943. The next prime is 42568963. The reversal of 42568944 is 44986524.

It is a super-2 number, since 2×425689442 = 3624229986550272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42568896 and 42568905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42568943) 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, 18447 + ... + 20625.

It is an arithmetic number, because the mean of its divisors is an integer number (1540824).

Almost surely, 242568944 is an apocalyptic number.

42568944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42568944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61632960).

42568944 is an abundant number, since it is smaller than the sum of its proper divisors (80696976).

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

42568944 is a wasteful number, since it uses less digits than its factorization.

42568944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 42568944 is about 6524.4880258914. The cubic root of 42568944 is about 349.1652050476.

The spelling of 42568944 in words is "forty-two million, five hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2179 2442 3256 4358 4884 6512 6537 8716 9768 13074 17432 19536 23969 26148 34864 47938 52296 71907 80623 95876 104592 143814 161246 191752 241869 287628 322492 383504 483738 575256 644984 886853 967476 1150512 1289968 1773706 1934952 2660559 3547412 3869904 5321118 7094824 10642236 14189648 21284472 42568944