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42102424 = 23713151383
BaseRepresentation
bin1010000010011…
…0111010011000
32221020000200001
42200212322120
541234234144
64102222344
71020602410
oct240467230
987200601
1042102424
11218471a1
12121249b4
1389517a0
14583d640
153a69bd4
hex2826e98

42102424 has 64 divisors (see below), whose sum is σ = 98058240. Its totient is φ = 16502400.

The previous prime is 42102419. The next prime is 42102427. The reversal of 42102424 is 42420124.

It is a super-2 number, since 2×421024242 = 3545228213351552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109737 + ... + 110119.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 242102424 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 42102424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029120).

42102424 is an abundant number, since it is smaller than the sum of its proper divisors (55955816).

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

42102424 is a wasteful number, since it uses less digits than its factorization.

42102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 42102424 is about 6488.6380697339. The cubic root of 42102424 is about 347.8849974513.

Adding to 42102424 its reverse (42420124), we get a palindrome (84522548).

The spelling of 42102424 in words is "forty-two million, one hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 151 182 302 364 383 604 728 766 1057 1208 1532 1963 2114 2681 3064 3926 4228 4979 5362 7852 8456 9958 10724 13741 15704 19916 21448 27482 34853 39832 54964 57833 69706 109928 115666 139412 231332 278824 404831 462664 751829 809662 1503658 1619324 3007316 3238648 5262803 6014632 10525606 21051212 42102424