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42118832 = 2472311733
BaseRepresentation
bin1010000010101…
…0111010110000
32221020212011202
42200222322300
541240300312
64102430332
71021001300
oct240527260
987225152
1042118832
1121858558
12121323a8
1389590b2
145845600
153a6e9c2
hex282aeb0

42118832 has 60 divisors (see below), whose sum is σ = 98047296. Its totient is φ = 17458560.

The previous prime is 42118831. The next prime is 42118837. The reversal of 42118832 is 23881124.

It is a junction number, because it is equal to n+sod(n) for n = 42118795 and 42118804.

It is not an unprimeable number, because it can be changed into a prime (42118831) 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 11 ways as a sum of consecutive naturals, for example, 23438 + ... + 25170.

Almost surely, 242118832 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 42118832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49023648).

42118832 is an abundant number, since it is smaller than the sum of its proper divisors (55928464).

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

42118832 is a wasteful number, since it uses less digits than its factorization.

42118832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1773 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 42118832 is about 6489.9023105128. The cubic root of 42118832 is about 347.9301837307.

Adding to 42118832 its reverse (23881124), we get a palindrome (65999956).

The spelling of 42118832 in words is "forty-two million, one hundred eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1733 1736 3038 3466 3472 6076 6932 12131 12152 13864 24262 24304 27728 48524 53723 84917 97048 107446 169834 194096 214892 339668 376061 429784 679336 752122 859568 1358672 1504244 2632427 3008488 5264854 6016976 10529708 21059416 42118832