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42106155 = 35713109283
BaseRepresentation
bin1010000010011…
…1110100101011
32221020012210020
42200213310223
541234344110
64102251523
71020616320
oct240476453
987205706
1042106155
1121849a83
1212126ba3
1389533b0
145840b47
153a6ad70
hex2827d2b

42106155 has 64 divisors (see below), whose sum is σ = 83973120. Its totient is φ = 17542656.

The previous prime is 42106133. The next prime is 42106157. The reversal of 42106155 is 55160124.

42106155 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 42106155 - 212 = 42102059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42106157) 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 63 ways as a sum of consecutive naturals, for example, 148644 + ... + 148926.

It is an arithmetic number, because the mean of its divisors is an integer number (1312080).

Almost surely, 242106155 is an apocalyptic number.

42106155 is a deficient number, since it is larger than the sum of its proper divisors (41866965).

42106155 is a wasteful number, since it uses less digits than its factorization.

42106155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 42106155 is about 6488.9255659161. The cubic root of 42106155 is about 347.8952733488.

Adding to 42106155 its reverse (55160124), we get a palindrome (97266279).

The spelling of 42106155 in words is "forty-two million, one hundred six thousand, one hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 109 195 273 283 327 455 545 763 849 1365 1415 1417 1635 1981 2289 3679 3815 4245 4251 5943 7085 9905 9919 11037 11445 18395 21255 25753 29715 29757 30847 49595 55185 77259 92541 128765 148785 154235 215929 386295 401011 462705 647787 1079645 1203033 2005055 2807077 3238935 6015165 8421231 14035385 42106155