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42124302 = 23211415189
BaseRepresentation
bin1010000010110…
…0010000001110
32221021010200100
42200230100032
541240434202
64102511530
71021023243
oct240542016
987233610
1042124302
1121861680
12121355a6
13895b72c
1458475ca
153a7141c
hex282c40e

42124302 has 48 divisors (see below), whose sum is σ = 102014640. Its totient is φ = 12451200.

The previous prime is 42124297. The next prime is 42124309. The reversal of 42124302 is 20342124.

42124302 is a `hidden beast` number, since 421 + 243 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5524 + ... + 10712.

It is an arithmetic number, because the mean of its divisors is an integer number (2125305).

Almost surely, 242124302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42124302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51007320).

42124302 is an abundant number, since it is smaller than the sum of its proper divisors (59890338).

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

42124302 is a wasteful number, since it uses less digits than its factorization.

42124302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42124302 is about 6490.3237207400. The cubic root of 42124302 is about 347.9452450515.

Adding to 42124302 its reverse (20342124), we get a palindrome (62466426).

The spelling of 42124302 in words is "forty-two million, one hundred twenty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 5189 8118 10378 15567 31134 46701 57079 93402 114158 171237 212749 342474 425498 513711 638247 1027422 1276494 1914741 2340239 3829482 4680478 7020717 14041434 21062151 42124302