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42554144 = 2537127283
BaseRepresentation
bin1010001001010…
…1001100100000
32222001222022102
42202111030200
541343213034
64120025532
71024463363
oct242251440
988058272
1042554144
1122025616
12123022a8
138a7c289
14591a0da
153b0897e
hex2895320

42554144 has 48 divisors (see below), whose sum is σ = 87026688. Its totient is φ = 20466432.

The previous prime is 42554123. The next prime is 42554147. The reversal of 42554144 is 44145524.

It is not an unprimeable number, because it can be changed into a prime (42554147) 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, 150227 + ... + 150509.

It is an arithmetic number, because the mean of its divisors is an integer number (1813056).

Almost surely, 242554144 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 42554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43513344).

42554144 is an abundant number, since it is smaller than the sum of its proper divisors (44472544).

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

42554144 is a wasteful number, since it uses less digits than its factorization.

42554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its digits is 12800, while the sum is 29.

The square root of 42554144 is about 6523.3537386838. The cubic root of 42554144 is about 349.1247354506.

Adding to 42554144 its reverse (44145524), we get a palindrome (86699668).

The spelling of 42554144 in words is "forty-two million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 127 148 254 283 296 508 566 592 1016 1132 1184 2032 2264 4064 4528 4699 9056 9398 10471 18796 20942 35941 37592 41884 71882 75184 83768 143764 150368 167536 287528 335072 575056 1150112 1329817 2659634 5319268 10638536 21277072 42554144