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42063824 = 24111991201
BaseRepresentation
bin1010000001110…
…1011111010000
32221011001201102
42200131133100
541232020244
64101323532
71020352025
oct240353720
987131642
1042063824
11218201a0
12121065a8
13893a04a
14582d54c
153a5d54e
hex281d7d0

42063824 has 40 divisors (see below), whose sum is σ = 89428800. Its totient is φ = 19008000.

The previous prime is 42063823. The next prime is 42063839. The reversal of 42063824 is 42836024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42063823) 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, 34424 + ... + 35624.

It is an arithmetic number, because the mean of its divisors is an integer number (2235720).

Almost surely, 242063824 is an apocalyptic number.

42063824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42063824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44714400).

42063824 is an abundant number, since it is smaller than the sum of its proper divisors (47364976).

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

42063824 is a wasteful number, since it uses less digits than its factorization.

42063824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 42063824 is about 6485.6629576320. The cubic root of 42063824 is about 347.7786499184.

Adding to 42063824 its reverse (42836024), we get a palindrome (84899848).

The spelling of 42063824 in words is "forty-two million, sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1201 1592 2189 2402 3184 4378 4804 8756 9608 13211 17512 19216 26422 35024 52844 105688 211376 238999 477998 955996 1911992 2628989 3823984 5257978 10515956 21031912 42063824