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42420462 = 2373121051
BaseRepresentation
bin1010000111010…
…0100011101110
32221211011221020
42201310203232
541324423322
64113115010
71023365550
oct241644356
987734836
1042420462
1121a44137
1212258a66
138a33486
1458c34d0
153ace05c
hex28748ee

42420462 has 48 divisors (see below), whose sum is σ = 100285056. Its totient is φ = 11718000.

The previous prime is 42420451. The next prime is 42420467. The reversal of 42420462 is 26402424.

42420462 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 (42420467) 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 23 ways as a sum of consecutive naturals, for example, 39837 + ... + 40887.

It is an arithmetic number, because the mean of its divisors is an integer number (2089272).

Almost surely, 242420462 is an apocalyptic number.

42420462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42420462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50142528).

42420462 is an abundant number, since it is smaller than the sum of its proper divisors (57864594).

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

42420462 is a wasteful number, since it uses less digits than its factorization.

42420462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42420462 is about 6513.0992622560. The cubic root of 42420462 is about 348.7587652118.

Adding to 42420462 its reverse (26402424), we get a palindrome (68822886).

The spelling of 42420462 in words is "forty-two million, four hundred twenty thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 961 1051 1302 1922 2102 2883 3153 5766 6306 6727 7357 13454 14714 20181 22071 32581 40362 44142 65162 97743 195486 228067 456134 684201 1010011 1368402 2020022 3030033 6060066 7070077 14140154 21210231 42420462