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42554148 = 223721319293
BaseRepresentation
bin1010001001010…
…1001100100100
32222001222022120
42202111030210
541343213043
64120025540
71024463400
oct242251444
988058276
1042554148
112202561a
12123022b0
138a7c290
14591a100
153b08983
hex2895324

42554148 has 144 divisors (see below), whose sum is σ = 131382720. Its totient is φ = 10596096.

The previous prime is 42554147. The next prime is 42554159. The reversal of 42554148 is 84145524.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 145090 + ... + 145382.

It is an arithmetic number, because the mean of its divisors is an integer number (912380).

Almost surely, 242554148 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 42554148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65691360).

42554148 is an abundant number, since it is smaller than the sum of its proper divisors (88828572).

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

42554148 is a wasteful number, since it uses less digits than its factorization.

42554148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 42554148 is about 6523.3540452746. The cubic root of 42554148 is about 349.1247463896.

The spelling of 42554148 in words is "forty-two million, five hundred fifty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 293 294 364 399 494 532 546 586 588 637 741 798 879 931 988 1092 1172 1274 1482 1596 1729 1758 1862 1911 2051 2548 2793 2964 3458 3516 3724 3809 3822 4102 5187 5567 5586 6153 6916 7618 7644 8204 10374 11134 11172 11427 12103 12306 14357 15236 16701 20748 22268 22854 24206 24612 26663 28714 33402 36309 38969 43071 45708 48412 53326 57428 66804 72371 72618 77938 79989 86142 106652 116907 144742 145236 155876 159978 172284 186641 217113 233814 272783 289484 319956 373282 434226 467628 506597 545566 559923 746564 818349 868452 1013194 1091132 1119846 1519791 1636698 2026388 2239692 3039582 3273396 3546179 6079164 7092358 10638537 14184716 21277074 42554148