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42942560 = 255594549
BaseRepresentation
bin1010001111010…
…0000001100000
32222210201010012
42203310001200
541443130220
64132224052
71031001653
oct243640140
988721105
1042942560
1122270421
121246b028
138b86ccb
1459bb89a
153b83ac5
hex28f4060

42942560 has 48 divisors (see below), whose sum is σ = 103194000. Its totient is φ = 16882176.

The previous prime is 42942553. The next prime is 42942563. The reversal of 42942560 is 6524924.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42942563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7166 + ... + 11714.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 242942560 is an apocalyptic number.

42942560 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 42942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597000).

42942560 is an abundant number, since it is smaller than the sum of its proper divisors (60251440).

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

42942560 is a wasteful number, since it uses less digits than its factorization.

42942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 42942560 is about 6553.0573017486. The cubic root of 42942560 is about 350.1837402593.

The spelling of 42942560 in words is "forty-two million, nine hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4549 4720 9098 9440 18196 22745 36392 45490 72784 90980 145568 181960 268391 363920 536782 727840 1073564 1341955 2147128 2683910 4294256 5367820 8588512 10735640 21471280 42942560