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42448344 = 2332971859
BaseRepresentation
bin1010000111101…
…1010111011000
32221212121011220
42201323113120
541331321334
64113452040
71023543051
oct241732730
987777156
1042448344
1121a63084
1212271020
138a43083
1458cd728
153ad7449
hex287b5d8

42448344 has 64 divisors (see below), whose sum is σ = 111456000. Its totient is φ = 13453440.

The previous prime is 42448339. The next prime is 42448369. The reversal of 42448344 is 44384424.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48987 + ... + 49845.

It is an arithmetic number, because the mean of its divisors is an integer number (1741500).

Almost surely, 242448344 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 42448344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55728000).

42448344 is an abundant number, since it is smaller than the sum of its proper divisors (69007656).

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

42448344 is a wasteful number, since it uses less digits than its factorization.

42448344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 964 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 42448344 is about 6515.2393662858. The cubic root of 42448344 is about 348.8351588651.

The spelling of 42448344 in words is "forty-two million, four hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 116 142 174 213 232 284 348 426 568 696 852 859 1704 1718 2059 2577 3436 4118 5154 6177 6872 8236 10308 12354 16472 20616 24708 24911 49416 49822 60989 74733 99644 121978 149466 182967 199288 243956 298932 365934 487912 597864 731868 1463736 1768681 3537362 5306043 7074724 10612086 14149448 21224172 42448344