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42228368 = 2471322397
BaseRepresentation
bin1010000100010…
…1101010010000
32221110102102122
42201011222100
541302301433
64105033412
71021635530
oct241055220
987412378
1042228368
1121922886
1212185868
138996c00
1458734c0
153a92198
hex2845a90

42228368 has 120 divisors (see below), whose sum is σ = 106743168. Its totient is φ = 15814656.

The previous prime is 42228349. The next prime is 42228371. The reversal of 42228368 is 86382224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435296 + ... + 435392.

Almost surely, 242228368 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 42228368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371584).

42228368 is an abundant number, since it is smaller than the sum of its proper divisors (64514800).

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

42228368 is a wasteful number, since it uses less digits than its factorization.

42228368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 42228368 is about 6498.3357869535. The cubic root of 42228368 is about 348.2315365845.

The spelling of 42228368 in words is "forty-two million, two hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 97 104 112 161 169 182 184 194 208 299 322 338 364 368 388 598 644 676 679 728 776 1183 1196 1261 1288 1352 1358 1456 1552 2093 2231 2366 2392 2522 2576 2704 2716 3887 4186 4462 4732 4784 5044 5432 7774 8372 8827 8924 9464 10088 10864 15548 15617 16393 16744 17654 17848 18928 20176 27209 29003 31096 31234 32786 33488 35308 35696 54418 58006 62192 62468 65572 70616 108836 114751 116012 124936 131144 141232 203021 217672 229502 232024 249872 262288 377039 406042 435344 459004 464048 754078 812084 918008 1508156 1624168 1836016 2639273 3016312 3248336 5278546 6032624 10557092 21114184 42228368