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42007417 = 1033131303
BaseRepresentation
bin1010000000111…
…1101101111001
32221001012100021
42200033231321
541223214132
64100210441
71020025414
oct240175571
987035307
1042007417
1121791881
1212099a21
13891a47a
145816b7b
153a4b997
hex280fb79

42007417 has 8 divisors (see below), whose sum is σ = 42583424. Its totient is φ = 41434848.

The previous prime is 42007397. The next prime is 42007463. The reversal of 42007417 is 71470024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42007417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42007391 and 42007400.

It is not an unprimeable number, because it can be changed into a prime (42007477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31588 + ... + 32890.

It is an arithmetic number, because the mean of its divisors is an integer number (5322928).

Almost surely, 242007417 is an apocalyptic number.

It is an amenable number.

42007417 is a deficient number, since it is larger than the sum of its proper divisors (576007).

42007417 is a wasteful number, since it uses less digits than its factorization.

42007417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719.

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 42007417 is about 6481.3129071200. The cubic root of 42007417 is about 347.6231249427.

It can be divided in two parts, 42007 and 417, that added together give a palindrome (42424).

The spelling of 42007417 in words is "forty-two million, seven thousand, four hundred seventeen".

Divisors: 1 103 313 1303 32239 134209 407839 42007417