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42417492 = 223131272141
BaseRepresentation
bin1010000111001…
…1110101010100
32221211000212020
42201303311110
541324324432
64113053140
71023354105
oct241636524
987730766
1042417492
1121a41987
12122571b0
138a32010
1458c23ac
153acd22c
hex2873d54

42417492 has 48 divisors (see below), whose sum is σ = 107476992. Its totient is φ = 12942720.

The previous prime is 42417491. The next prime is 42417523. The reversal of 42417492 is 29471424.

42417492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42417491) 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 15 ways as a sum of consecutive naturals, for example, 18742 + ... + 20882.

It is an arithmetic number, because the mean of its divisors is an integer number (2239104).

Almost surely, 242417492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42417492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53738496).

42417492 is an abundant number, since it is smaller than the sum of its proper divisors (65059500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42417492 is a wasteful number, since it uses less digits than its factorization.

42417492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2286 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 42417492 is about 6512.8712562126. The cubic root of 42417492 is about 348.7506257617.

The spelling of 42417492 in words is "forty-two million, four hundred seventeen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 2141 3302 4282 4953 6423 6604 8564 9906 12846 19812 25692 27833 55666 83499 111332 166998 271907 333996 543814 815721 1087628 1631442 3262884 3534791 7069582 10604373 14139164 21208746 42417492