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42812448 = 253763709
BaseRepresentation
bin1010001101010…
…0010000100000
32222120002122020
42203110100200
541424444243
64125341440
71026620430
oct243242040
988502566
1042812448
1122191698
1212407880
138b3ca13
1459862c0
153b5a283
hex28d4420

42812448 has 48 divisors (see below), whose sum is σ = 128439360. Its totient is φ = 12231936.

The previous prime is 42812447. The next prime is 42812501. The reversal of 42812448 is 84421824.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (42812447) 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, 31183 + ... + 32526.

It is an arithmetic number, because the mean of its divisors is an integer number (2675820).

Almost surely, 242812448 is an apocalyptic number.

42812448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42812448 is an abundant number, since it is smaller than the sum of its proper divisors (85626912).

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

42812448 is a wasteful number, since it uses less digits than its factorization.

42812448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63729 (or 63721 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 42812448 is about 6543.1221905143. The cubic root of 42812448 is about 349.8297076339.

The spelling of 42812448 in words is "forty-two million, eight hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 63709 127418 191127 254836 382254 445963 509672 764508 891926 1019344 1337889 1529016 1783852 2038688 2675778 3058032 3567704 5351556 6116064 7135408 10703112 14270816 21406224 42812448