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42873480 = 23325139161
BaseRepresentation
bin1010001110001…
…1001010001000
32222200012100200
42203203022020
541433422410
64130532200
71030263366
oct243431210
988605320
1042873480
1122223531
1212437060
138b61730
1459a0636
153b6d3c0
hex28e3288

42873480 has 96 divisors (see below), whose sum is σ = 150073560. Its totient is φ = 10552320.

The previous prime is 42873463. The next prime is 42873487. The reversal of 42873480 is 8437824.

It can be written as a sum of positive squares in 4 ways, for example, as 23213124 + 19660356 = 4818^2 + 4434^2 .

It is a super-3 number, since 3×428734803 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42873487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100 + ... + 9260.

Almost surely, 242873480 is an apocalyptic number.

42873480 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 42873480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75036780).

42873480 is an abundant number, since it is smaller than the sum of its proper divisors (107200080).

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

42873480 is a wasteful number, since it uses less digits than its factorization.

42873480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42873480 is about 6547.7843580863. The cubic root of 42873480 is about 349.9958638967.

The spelling of 42873480 in words is "forty-two million, eight hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 9161 18322 27483 36644 45805 54966 73288 82449 91610 109932 119093 137415 164898 183220 219864 238186 274830 329796 357279 366440 412245 476372 549660 595465 659592 714558 824490 952744 1071837 1099320 1190930 1429116 1648980 1786395 2143674 2381860 2858232 3297960 3572790 4287348 4763720 5359185 7145580 8574696 10718370 14291160 21436740 42873480