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42421405 = 513897333
BaseRepresentation
bin1010000111010…
…0110010011101
32221211020020011
42201310302131
541324441110
64113123221
71023401365
oct241646235
987736204
1042421405
1121a44914
1212259511
138a33a30
1458c39a5
153ace48a
hex2874c9d

42421405 has 16 divisors (see below), whose sum is σ = 55445040. Its totient is φ = 30970368.

The previous prime is 42421399. The next prime is 42421411. The reversal of 42421405 is 50412424.

It is a happy number.

42421405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42421399) and next prime (42421411).

It can be written as a sum of positive squares in 8 ways, for example, as 21132409 + 21288996 = 4597^2 + 4614^2 .

It is not a de Polignac number, because 42421405 - 29 = 42420893 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2119 + ... + 9451.

It is an arithmetic number, because the mean of its divisors is an integer number (3465315).

Almost surely, 242421405 is an apocalyptic number.

It is an amenable number.

42421405 is a deficient number, since it is larger than the sum of its proper divisors (13023635).

42421405 is a wasteful number, since it uses less digits than its factorization.

42421405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 42421405 is about 6513.1716544246. The cubic root of 42421405 is about 348.7613494763.

Adding to 42421405 its reverse (50412424), we get a palindrome (92833829).

The spelling of 42421405 in words is "forty-two million, four hundred twenty-one thousand, four hundred five".

Divisors: 1 5 13 65 89 445 1157 5785 7333 36665 95329 476645 652637 3263185 8484281 42421405