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42855480 = 233554409
BaseRepresentation
bin1010001101111…
…0110000111000
32222122021200000
42203132300320
541432333410
64130313000
71030160043
oct243366070
988567600
1042855480
1122210a58
1212428760
138b56495
145997c5a
153b67dc0
hex28dec38

42855480 has 96 divisors (see below), whose sum is σ = 144471600. Its totient is φ = 11425536.

The previous prime is 42855467. The next prime is 42855481. The reversal of 42855480 is 8455824.

42855480 is a `hidden beast` number, since 4 + 28 + 554 + 80 = 666.

42855480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42855481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7516 + ... + 11924.

Almost surely, 242855480 is an apocalyptic number.

42855480 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 42855480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72235800).

42855480 is an abundant number, since it is smaller than the sum of its proper divisors (101616120).

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

42855480 is a wasteful number, since it uses less digits than its factorization.

42855480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 42855480 is about 6546.4097030357. The cubic root of 42855480 is about 349.9468762909.

The spelling of 42855480 in words is "forty-two million, eight hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4409 4860 8818 9720 13227 17636 22045 26454 35272 39681 44090 52908 66135 79362 88180 105816 119043 132270 158724 176360 198405 238086 264540 317448 357129 396810 476172 529080 595215 714258 793620 952344 1071387 1190430 1428516 1587240 1785645 2142774 2380860 2857032 3571290 4285548 4761720 5356935 7142580 8571096 10713870 14285160 21427740 42855480