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42551730 = 236513449
BaseRepresentation
bin1010001001010…
…0100110110010
32222001212000000
42202110212302
541343123410
64120010430
71024453344
oct242244662
988055000
1042551730
1122023821
1212300a16
138a7b150
145919294
153b07dc0
hex28949b2

42551730 has 112 divisors (see below), whose sum is σ = 123946200. Its totient is φ = 10450944.

The previous prime is 42551723. The next prime is 42551749. The reversal of 42551730 is 3715524.

It is a happy number.

42551730 is a `hidden beast` number, since 42 + 551 + 73 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28869129 + 13682601 = 5373^2 + 3699^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42551694 and 42551703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94546 + ... + 94994.

Almost surely, 242551730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42551730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61973100).

42551730 is an abundant number, since it is smaller than the sum of its proper divisors (81394470).

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

42551730 is a wasteful number, since it uses less digits than its factorization.

42551730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 42551730 is about 6523.1687085342. The cubic root of 42551730 is about 349.1181336412.

The spelling of 42551730 in words is "forty-two million, five hundred fifty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 449 486 585 702 729 810 898 1053 1170 1215 1347 1458 1755 2106 2245 2430 2694 3159 3510 3645 4041 4490 5265 5837 6318 6735 7290 8082 9477 10530 11674 12123 13470 15795 17511 18954 20205 24246 29185 31590 35022 36369 40410 47385 52533 58370 60615 72738 87555 94770 105066 109107 121230 157599 175110 181845 218214 262665 315198 327321 363690 472797 525330 545535 654642 787995 945594 1091070 1418391 1575990 1636605 2363985 2836782 3273210 4255173 4727970 7091955 8510346 14183910 21275865 42551730