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45434142 = 23313611061
BaseRepresentation
bin1010110101010…
…0010100011110
310011111021221000
42231110110132
543112343032
64301451130
71061120025
oct255242436
9104437830
1045434142
1123712386
1213270aa6
13954a110
1460698bc
153ec6e7c
hex2b5451e

45434142 has 64 divisors (see below), whose sum is σ = 110617920. Its totient is φ = 13737600.

The previous prime is 45434119. The next prime is 45434159. The reversal of 45434142 is 24143454.

It is a happy number.

45434142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454341422 = 4128522518552328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 42292 + ... + 43352.

It is an arithmetic number, because the mean of its divisors is an integer number (1728405).

Almost surely, 245434142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45434142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55308960).

45434142 is an abundant number, since it is smaller than the sum of its proper divisors (65183778).

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

45434142 is a wasteful number, since it uses less digits than its factorization.

45434142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 45434142 is about 6740.4852941016. The cubic root of 45434142 is about 356.8295210330.

Adding to 45434142 its reverse (24143454), we get a palindrome (69577596).

It can be divided in two parts, 454 and 34142, that added together give a square (34596 = 1862).

The spelling of 45434142 in words is "forty-five million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 549 702 793 1061 1098 1586 1647 2122 2379 3183 3294 4758 6366 7137 9549 13793 14274 19098 21411 27586 28647 41379 42822 57294 64721 82758 124137 129442 194163 248274 372411 388326 582489 744822 841373 1164978 1682746 1747467 2524119 3494934 5048238 7572357 15144714 22717071 45434142