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42956280 = 23325177019
BaseRepresentation
bin1010001111011…
…1010111111000
32222211101221100
42203313113320
541444100110
64132411400
71031056653
oct243672770
988741840
1042956280
112227a764
1212476b60
138b90323
1459c289a
153b87bc0
hex28f75f8

42956280 has 96 divisors (see below), whose sum is σ = 147841200. Its totient is φ = 10779648.

The previous prime is 42956273. The next prime is 42956311. The reversal of 42956280 is 8265924.

It is a happy number.

42956280 is a `hidden beast` number, since 4 + 29 + 5 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2611 + ... + 9629.

Almost surely, 242956280 is an apocalyptic number.

42956280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42956280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920600).

42956280 is an abundant number, since it is smaller than the sum of its proper divisors (104884920).

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

42956280 is a wasteful number, since it uses less digits than its factorization.

42956280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7053 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42956280 is about 6554.1040577641. The cubic root of 42956280 is about 350.2210304545.

The spelling of 42956280 in words is "forty-two million, nine hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 7019 14038 21057 28076 35095 42114 56152 63171 70190 84228 105285 119323 126342 140380 168456 210570 238646 252684 280760 315855 357969 421140 477292 505368 596615 631710 715938 842280 954584 1073907 1193230 1263420 1431876 1789845 2147814 2386460 2526840 2863752 3579690 4295628 4772920 5369535 7159380 8591256 10739070 14318760 21478140 42956280