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42706521 = 3511131229
BaseRepresentation
bin1010001011101…
…0011001011001
32222100201100000
42202322121121
541413102041
64123203213
71025666544
oct242723131
988321300
1042706521
112211a050
1212376509
138b03740
14595985b
153b38bb6
hex28ba659

42706521 has 48 divisors (see below), whose sum is σ = 75216960. Its totient is φ = 23872320.

The previous prime is 42706511. The next prime is 42706541. The reversal of 42706521 is 12560724.

42706521 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 652 + 1 = 666.

42706521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42706521 - 210 = 42705497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42706511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34135 + ... + 35363.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 242706521 is an apocalyptic number.

It is an amenable number.

42706521 is a deficient number, since it is larger than the sum of its proper divisors (32510439).

42706521 is a wasteful number, since it uses less digits than its factorization.

42706521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42706521 is about 6535.0226472446. The cubic root of 42706521 is about 349.5409519329.

The spelling of 42706521 in words is "forty-two million, seven hundred six thousand, five hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 891 1053 1229 1287 2673 3159 3687 3861 11061 11583 13519 15977 33183 34749 40557 47931 99549 121671 143793 175747 298647 365013 431379 527241 1095039 1294137 1581723 3285117 3882411 4745169 14235507 42706521