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42102664 = 23291731049
BaseRepresentation
bin1010000010011…
…0111110001000
32221020000222221
42200212332020
541234241124
64102223424
71020603202
oct240467610
987200887
1042102664
112184739a
1212124b74
138951926
14583d772
153a69ce4
hex2826f88

42102664 has 32 divisors (see below), whose sum is σ = 82215000. Its totient is φ = 20188672.

The previous prime is 42102661. The next prime is 42102691. The reversal of 42102664 is 46620124.

It can be written as a sum of positive squares in 4 ways, for example, as 41705764 + 396900 = 6458^2 + 630^2 .

It is not an unprimeable number, because it can be changed into a prime (42102661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39612 + ... + 40660.

Almost surely, 242102664 is an apocalyptic number.

It is an amenable number.

42102664 is a deficient number, since it is larger than the sum of its proper divisors (40112336).

42102664 is a wasteful number, since it uses less digits than its factorization.

42102664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42102664 is about 6488.6565635731. The cubic root of 42102664 is about 347.8856584761.

Adding to 42102664 its reverse (46620124), we get a palindrome (88722788).

The spelling of 42102664 in words is "forty-two million, one hundred two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 29 58 116 173 232 346 692 1049 1384 2098 4196 5017 8392 10034 20068 30421 40136 60842 121684 181477 243368 362954 725908 1451816 5262833 10525666 21051332 42102664