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4542144 = 26341577
BaseRepresentation
bin10001010100111011000000
322112202122120
4101110323000
52130322034
6241204240
753415255
oct21247300
98482576
104542144
112622642
121630680
13c30579
1486342c
155eac49
hex454ec0

4542144 has 56 divisors (see below), whose sum is σ = 12332208. Its totient is φ = 1474560.

The previous prime is 4542143. The next prime is 4542149. The reversal of 4542144 is 4412454.

4542144 = T291 + T292 + ... + T372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4542143) 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, 7584 + ... + 8160.

It is an arithmetic number, because the mean of its divisors is an integer number (220218).

Almost surely, 24542144 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 4542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166104).

4542144 is an abundant number, since it is smaller than the sum of its proper divisors (7790064).

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

4542144 is a wasteful number, since it uses less digits than its factorization.

4542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 4542144 is about 2131.2306304105. The cubic root of 4542144 is about 165.6101559736.

Adding to 4542144 its reverse (4412454), we get a palindrome (8954598).

The spelling of 4542144 in words is "four million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 577 656 984 1154 1312 1731 1968 2308 2624 3462 3936 4616 6924 7872 9232 13848 18464 23657 27696 36928 47314 55392 70971 94628 110784 141942 189256 283884 378512 567768 757024 1135536 1514048 2271072 4542144