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42669405 = 325173193
BaseRepresentation
bin1010001011000…
…1010101011101
32222021211102100
42202301111131
541410410110
64122315313
71025453412
oct242612535
988254370
1042669405
11220a4179
1212358b39
138abc88c
14594a109
153b2cbc0
hex28b155d

42669405 has 48 divisors (see below), whose sum is σ = 78989040. Its totient is φ = 21307392.

The previous prime is 42669391. The next prime is 42669409. The reversal of 42669405 is 50496624.

42669405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1028196 + 41641209 = 1014^2 + 6453^2 .

It is not a de Polignac number, because 42669405 - 28 = 42669149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42669405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42669409) 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, 220989 + ... + 221181.

It is an arithmetic number, because the mean of its divisors is an integer number (1645605).

Almost surely, 242669405 is an apocalyptic number.

42669405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42669405 is a deficient number, since it is larger than the sum of its proper divisors (36319635).

42669405 is a wasteful number, since it uses less digits than its factorization.

42669405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42669405 is about 6532.1822540404. The cubic root of 42669405 is about 349.4396612174.

The spelling of 42669405 in words is "forty-two million, six hundred sixty-nine thousand, four hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 193 255 289 579 765 867 965 1445 1737 2601 2895 3281 4335 4913 8685 9843 13005 14739 16405 24565 29529 44217 49215 55777 73695 147645 167331 221085 278885 501993 836655 948209 2509965 2844627 4741045 8533881 14223135 42669405