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42405024 = 2533114249
BaseRepresentation
bin1010000111000…
…0110010100000
32221210101202110
42201300302200
541323430044
64112515320
71023302544
oct241606240
987711673
1042405024
1121a33582
121224bb40
138a2943c
1458bba24
153ac96b9
hex2870ca0

42405024 has 48 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 13678080.

The previous prime is 42405023. The next prime is 42405049. The reversal of 42405024 is 42050424.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42405023) 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, 4149 + ... + 10100.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 242405024 is an apocalyptic number.

It is an amenable number.

42405024 is an abundant number, since it is smaller than the sum of its proper divisors (72506976).

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

42405024 is a wasteful number, since it uses less digits than its factorization.

42405024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14293 (or 14285 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42405024 is about 6511.9140043462. The cubic root of 42405024 is about 348.7164523684.

Adding to 42405024 its reverse (42050424), we get a palindrome (84455448).

The spelling of 42405024 in words is "forty-two million, four hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 14249 28498 42747 56996 85494 113992 170988 227984 341976 441719 455968 683952 883438 1325157 1367904 1766876 2650314 3533752 5300628 7067504 10601256 14135008 21202512 42405024