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42550144 = 277132281
BaseRepresentation
bin1010001001010…
…0001110000000
32222001202211021
42202110032000
541343101034
64115555224
71024445620
oct242241600
988052737
1042550144
112202260a
12122bbb14
138a7a500
145918880
153b076b4
hex2894380

42550144 has 96 divisors (see below), whose sum is σ = 105276240. Its totient is φ = 16773120.

The previous prime is 42550141. The next prime is 42550147. The reversal of 42550144 is 44105524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42550141) and next prime (42550147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42550141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151284 + ... + 151564.

Almost surely, 242550144 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 42550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52638120).

42550144 is an abundant number, since it is smaller than the sum of its proper divisors (62726096).

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

42550144 is a wasteful number, since it uses less digits than its factorization.

42550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 42550144 is about 6523.0471407158. The cubic root of 42550144 is about 349.1137961110.

Adding to 42550144 its reverse (44105524), we get a palindrome (86655668).

The spelling of 42550144 in words is "forty-two million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 281 338 364 416 448 562 676 728 832 896 1124 1183 1352 1456 1664 1967 2248 2366 2704 2912 3653 3934 4496 4732 5408 5824 7306 7868 8992 9464 10816 11648 14612 15736 17984 18928 21632 25571 29224 31472 35968 37856 47489 51142 58448 62944 75712 94978 102284 116896 125888 151424 189956 204568 233792 251776 332423 379912 409136 467584 664846 759824 818272 1329692 1519648 1636544 2659384 3039296 3273088 5318768 6078592 10637536 21275072 42550144