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42877296 = 24337111289
BaseRepresentation
bin1010001110010…
…0000101110000
32222200101121000
42203210011300
541434033141
64131002000
71030310460
oct243440560
988611530
1042877296
1122226390
1212439300
138b633a7
1459a1ba0
153b6e5b6
hex28e4170

42877296 has 160 divisors (see below), whose sum is σ = 153561600. Its totient is φ = 11128320.

The previous prime is 42877291. The next prime is 42877333. The reversal of 42877296 is 69277824.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42877291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32620 + ... + 33908.

It is an arithmetic number, because the mean of its divisors is an integer number (959760).

Almost surely, 242877296 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 42877296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76780800).

42877296 is an abundant number, since it is smaller than the sum of its proper divisors (110684304).

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

42877296 is a wasteful number, since it uses less digits than its factorization.

42877296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1312 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 42877296 is about 6548.0757478820. The cubic root of 42877296 is about 350.0062475075.

The spelling of 42877296 in words is "forty-two million, eight hundred seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1289 1386 1512 1584 1848 2079 2376 2578 2772 3024 3696 3867 4158 4752 5156 5544 7734 8316 9023 10312 11088 11601 14179 15468 16632 18046 20624 23202 27069 28358 30936 33264 34803 36092 42537 46404 54138 56716 61872 69606 72184 81207 85074 92808 99253 108276 113432 127611 139212 144368 162414 170148 185616 198506 216552 226864 243621 255222 278424 297759 324828 340296 382833 397012 433104 487242 510444 556848 595518 649656 680592 765666 794024 893277 974484 1020888 1191036 1299312 1531332 1588048 1786554 1948968 2041776 2382072 2679831 3062664 3573108 3897936 4764144 5359662 6125328 7146216 10719324 14292432 21438648 42877296