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42123576 = 23311379421
BaseRepresentation
bin1010000010110…
…0000100111000
32221021002200110
42200230010320
541240423301
64102504320
71021021155
oct240540470
987232613
1042123576
1121861080
12121350a0
13895b2c1
14584722c
153a710d6
hex282c138

42123576 has 64 divisors (see below), whose sum is σ = 115459200. Its totient is φ = 12700800.

The previous prime is 42123559. The next prime is 42123577. The reversal of 42123576 is 67532124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123577) 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, 99846 + ... + 100266.

It is an arithmetic number, because the mean of its divisors is an integer number (1804050).

Almost surely, 242123576 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 42123576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57729600).

42123576 is an abundant number, since it is smaller than the sum of its proper divisors (73335624).

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

42123576 is a wasteful number, since it uses less digits than its factorization.

42123576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 42123576 is about 6490.2677910854. The cubic root of 42123576 is about 347.9432461286.

The spelling of 42123576 in words is "forty-two million, one hundred twenty-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 421 758 842 1137 1263 1516 1684 2274 2526 3032 3368 4169 4548 4631 5052 8338 9096 9262 10104 12507 13893 16676 18524 25014 27786 33352 37048 50028 55572 100056 111144 159559 319118 478677 638236 957354 1276472 1755149 1914708 3510298 3829416 5265447 7020596 10530894 14041192 21061788 42123576