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42115232 = 2543127241
BaseRepresentation
bin1010000010101…
…0000010100000
32221020200020102
42200222002200
541240141412
64102401532
71020654635
oct240520240
987220212
1042115232
1121855885
12121302a8
138957573
14584418c
153a6d8c2
hex282a0a0

42115232 has 48 divisors (see below), whose sum is σ = 85865472. Its totient is φ = 20321280.

The previous prime is 42115223. The next prime is 42115237. The reversal of 42115232 is 23251124.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (42115237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174632 + ... + 174872.

It is an arithmetic number, because the mean of its divisors is an integer number (1788864).

Almost surely, 242115232 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 42115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42932736).

42115232 is an abundant number, since it is smaller than the sum of its proper divisors (43750240).

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

42115232 is a wasteful number, since it uses less digits than its factorization.

42115232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 42115232 is about 6489.6249506424. The cubic root of 42115232 is about 347.9202706325.

Adding to 42115232 its reverse (23251124), we get a palindrome (65366356).

The spelling of 42115232 in words is "forty-two million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 127 172 241 254 344 482 508 688 964 1016 1376 1928 2032 3856 4064 5461 7712 10363 10922 20726 21844 30607 41452 43688 61214 82904 87376 122428 165808 174752 244856 331616 489712 979424 1316101 2632202 5264404 10528808 21057616 42115232