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42544524 = 223113137281
BaseRepresentation
bin1010001001001…
…0110110001100
32222001111010010
42202102312030
541342411044
64115513220
71024423341
oct242226614
988044103
1042544524
1122019370
12122b8810
138a77a99
1459167c8
153b05bb9
hex2892d8c

42544524 has 96 divisors (see below), whose sum is σ = 115218432. Its totient is φ = 12096000.

The previous prime is 42544519. The next prime is 42544543.

42544524 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42544491 and 42544500.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 151264 + ... + 151544.

It is an arithmetic number, because the mean of its divisors is an integer number (1200192).

Almost surely, 242544524 is an apocalyptic number.

42544524 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 42544524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57609216).

42544524 is an abundant number, since it is smaller than the sum of its proper divisors (72673908).

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

42544524 is a wasteful number, since it uses less digits than its factorization.

42544524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 42544524 is about 6522.6163462218. The cubic root of 42544524 is about 349.0984251805.

It can be divided in two parts, 4254 and 4524, that added together give a palindrome (8778).

The spelling of 42544524 in words is "forty-two million, five hundred forty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 281 341 372 407 444 562 682 814 843 1023 1124 1147 1221 1364 1628 1686 2046 2294 2442 3091 3372 3441 4092 4588 4884 6182 6882 8711 9273 10397 12364 12617 13764 17422 18546 20794 25234 26133 31191 34844 37092 37851 41588 50468 52266 62382 75702 95821 104532 114367 124764 151404 191642 228734 287463 322307 343101 383284 457468 574926 644614 686202 966921 1149852 1289228 1372404 1933842 3545377 3867684 7090754 10636131 14181508 21272262 42544524