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42402321 = 32132912497
BaseRepresentation
bin1010000111000…
…0001000010001
32221210021001100
42201300020101
541323333241
64112455013
71023261633
oct241601021
987707040
1042402321
1121a31545
121224a469
138a28140
1458baa53
153ac89b6
hex2870211

42402321 has 24 divisors (see below), whose sum is σ = 68239080. Its totient is φ = 25191936.

The previous prime is 42402307. The next prime is 42402377. The reversal of 42402321 is 12320424.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 40259025 = 1464^2 + 6345^2 .

It is not a de Polignac number, because 42402321 - 27 = 42402193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42402294 and 42402303.

It is not an unprimeable number, because it can be changed into a prime (42402121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856 + ... + 9641.

It is an arithmetic number, because the mean of its divisors is an integer number (2843295).

Almost surely, 242402321 is an apocalyptic number.

It is an amenable number.

42402321 is a deficient number, since it is larger than the sum of its proper divisors (25836759).

42402321 is a wasteful number, since it uses less digits than its factorization.

42402321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12545 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42402321 is about 6511.7064583717. The cubic root of 42402321 is about 348.7090428643.

Adding to 42402321 its reverse (12320424), we get a palindrome (54722745).

It can be divided in two parts, 4240 and 2321, that added together give a 8-th power (6561 = 38).

The spelling of 42402321 in words is "forty-two million, four hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 12497 37491 112473 162461 362413 487383 1087239 1462149 3261717 4711369 14134107 42402321