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42684544 = 27747639
BaseRepresentation
bin1010001011010…
…1000010000000
32222022121012001
42202311002000
541411401134
64122513344
71025545510
oct242650200
988277161
1042684544
1122104591
1212365854
138ac6736
145951840
153b32414
hex28b5080

42684544 has 32 divisors (see below), whose sum is σ = 97185600. Its totient is φ = 18292992.

The previous prime is 42684541. The next prime is 42684563. The reversal of 42684544 is 44548624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×426845443 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42684541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22924 + ... + 24715.

It is an arithmetic number, because the mean of its divisors is an integer number (3037050).

Almost surely, 242684544 is an apocalyptic number.

It is an amenable number.

42684544 is an abundant number, since it is smaller than the sum of its proper divisors (54501056).

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

42684544 is an equidigital number, since it uses as much as digits as its factorization.

42684544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47660 (or 47648 counting only the distinct ones).

The product of its digits is 122880, while the sum is 37.

The square root of 42684544 is about 6533.3409523765. The cubic root of 42684544 is about 349.4809831084.

The spelling of 42684544 in words is "forty-two million, six hundred eighty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 47639 95278 190556 333473 381112 666946 762224 1333892 1524448 2667784 3048896 5335568 6097792 10671136 21342272 42684544