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46440042 = 23112471361
BaseRepresentation
bin1011000100100…
…1111001101010
310020101101202120
42301021321222
543342040132
64335212110
71102506465
oct261117152
9106341676
1046440042
112423a100
1213677036
13980cc1c
14624c2dc
15412502c
hex2c49e6a

46440042 has 48 divisors (see below), whose sum is σ = 104340096. Its totient is φ = 13763200.

The previous prime is 46440041. The next prime is 46440061. The reversal of 46440042 is 24004464.

46440042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46439994 and 46440021.

It is not an unprimeable number, because it can be changed into a prime (46440041) 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, 33442 + ... + 34802.

It is an arithmetic number, because the mean of its divisors is an integer number (2173752).

Almost surely, 246440042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52170048).

46440042 is an abundant number, since it is smaller than the sum of its proper divisors (57900054).

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

46440042 is a wasteful number, since it uses less digits than its factorization.

46440042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1424 counting only the distinct ones).

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

The square root of 46440042 is about 6814.6930965378. The cubic root of 46440042 is about 359.4436932531.

The spelling of 46440042 in words is "forty-six million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 1034 1361 1551 2722 3102 4083 5687 8166 11374 14971 17061 29942 34122 44913 63967 89826 127934 164681 191901 329362 383802 494043 703637 988086 1407274 2110911 4221822 7740007 15480014 23220021 46440042