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42511144 = 2313616701
BaseRepresentation
bin1010001000101…
…0101100101000
32221222210022211
42202022230220
541340324034
64115054504
71024224124
oct242125450
987883284
1042511144
1121aa6285
12122a1434
138a65830
145908584
153aead64
hex288ab28

42511144 has 32 divisors (see below), whose sum is σ = 87260040. Its totient is φ = 19296000.

The previous prime is 42511121. The next prime is 42511163. The reversal of 42511144 is 44111524.

It can be written as a sum of positive squares in 4 ways, for example, as 14822500 + 27688644 = 3850^2 + 5262^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2994 + ... + 9694.

Almost surely, 242511144 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 42511144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43630020).

42511144 is an abundant number, since it is smaller than the sum of its proper divisors (44748896).

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

42511144 is a wasteful number, since it uses less digits than its factorization.

42511144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6777 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 42511144 is about 6520.0570549651. The cubic root of 42511144 is about 349.0071016034.

Adding to 42511144 its reverse (44111524), we get a palindrome (86622668).

The spelling of 42511144 in words is "forty-two million, five hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344 6701 13402 26804 53608 87113 174226 348452 408761 696904 817522 1635044 3270088 5313893 10627786 21255572 42511144