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42544404 = 22327179931
BaseRepresentation
bin1010001001001…
…0110100010100
32222001110221200
42202102310110
541342410104
64115512500
71024423110
oct242226424
988043850
1042544404
1122019271
12122b8730
138a77a06
145916740
153b05b39
hex2892d14

42544404 has 72 divisors (see below), whose sum is σ = 130148928. Its totient is φ = 11439360.

The previous prime is 42544393. The next prime is 42544451. The reversal of 42544404 is 40444524.

It is a happy number.

42544404 is a `hidden beast` number, since 4 + 254 + 4 + 404 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682 + ... + 9249.

It is an arithmetic number, because the mean of its divisors is an integer number (1807624).

Almost surely, 242544404 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 42544404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65074464).

42544404 is an abundant number, since it is smaller than the sum of its proper divisors (87604524).

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

42544404 is a wasteful number, since it uses less digits than its factorization.

42544404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 42544404 is about 6522.6071474526. The cubic root of 42544404 is about 349.0980969608.

Adding to 42544404 its reverse (40444524), we get a palindrome (82988928).

It can be divided in two parts, 42 and 544404, that added together give a triangular number (544446 = T1043).

The spelling of 42544404 in words is "forty-two million, five hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 9931 19862 29793 39724 59586 69517 89379 119172 139034 168827 178758 208551 278068 337654 357516 417102 506481 625653 675308 834204 1012962 1181789 1251306 1519443 2025924 2363578 2502612 3038886 3545367 4727156 6077772 7090734 10636101 14181468 21272202 42544404