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42319360 = 29561271
BaseRepresentation
bin1010000101101…
…1111000000000
32221122001020201
42201123320000
541313204420
64111014544
71022465026
oct241337000
987561221
1042319360
1121985186
121220a454
1389c9455
145898716
153aae10a
hex285be00

42319360 has 80 divisors (see below), whose sum is σ = 103511232. Its totient is φ = 16588800.

The previous prime is 42319331. The next prime is 42319367. The reversal of 42319360 is 6391324.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42319367) 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, 156025 + ... + 156295.

Almost surely, 242319360 is an apocalyptic number.

42319360 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 42319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51755616).

42319360 is an abundant number, since it is smaller than the sum of its proper divisors (61191872).

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

42319360 is an equidigital number, since it uses as much as digits as its factorization.

42319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 42319360 is about 6505.3331966933. Note that the first 3 decimals coincide. The cubic root of 42319360 is about 348.4814756176.

Subtracting from 42319360 its reverse (6391324), we obtain a square (35928036 = 59942).

The spelling of 42319360 in words is "forty-two million, three hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 271 305 320 488 512 542 610 640 976 1084 1220 1280 1355 1952 2168 2440 2560 2710 3904 4336 4880 5420 7808 8672 9760 10840 15616 16531 17344 19520 21680 31232 33062 34688 39040 43360 66124 69376 78080 82655 86720 132248 138752 156160 165310 173440 264496 330620 346880 528992 661240 693760 1057984 1322480 2115968 2644960 4231936 5289920 8463872 10579840 21159680 42319360