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42103368 = 2333421463
BaseRepresentation
bin1010000010011…
…1001001001000
32221020001222000
42200213021020
541234301433
64102231000
71020605226
oct240471110
987201860
1042103368
112184797a
1212125460
138952048
14583db16
153a6a113
hex2827248

42103368 has 64 divisors (see below), whose sum is σ = 117484800. Its totient is φ = 13970880.

The previous prime is 42103367. The next prime is 42103379. The reversal of 42103368 is 86330124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42103361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90705 + ... + 91167.

It is an arithmetic number, because the mean of its divisors is an integer number (1835700).

Almost surely, 242103368 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 42103368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58742400).

42103368 is an abundant number, since it is smaller than the sum of its proper divisors (75381432).

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

42103368 is a wasteful number, since it uses less digits than its factorization.

42103368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42103368 is about 6488.7108118639. The cubic root of 42103368 is about 347.8875974677.

The spelling of 42103368 in words is "forty-two million, one hundred three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 421 463 842 926 1263 1389 1684 1852 2526 2778 3368 3704 3789 4167 5052 5556 7578 8334 10104 11112 11367 12501 15156 16668 22734 25002 30312 33336 45468 50004 90936 100008 194923 389846 584769 779692 1169538 1559384 1754307 2339076 3508614 4678152 5262921 7017228 10525842 14034456 21051684 42103368