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42248832 = 273110023
BaseRepresentation
bin1010000100101…
…0101010000000
32221111110111120
42201022222000
541303430312
64105312240
71022052303
oct241125200
987443446
1042248832
112193719a
1212195680
1389a3312
14587ab3a
153a9828c
hex284aa80

42248832 has 32 divisors (see below), whose sum is σ = 112224480. Its totient is φ = 14082816.

The previous prime is 42248831. The next prime is 42248863. The reversal of 42248832 is 23884224.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a junction number, because it is equal to n+sod(n) for n = 42248793 and 42248802.

It is not an unprimeable number, because it can be changed into a prime (42248831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54628 + ... + 55395.

It is an arithmetic number, because the mean of its divisors is an integer number (3507015).

Almost surely, 242248832 is an apocalyptic number.

It is an amenable number.

42248832 is an abundant number, since it is smaller than the sum of its proper divisors (69975648).

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

42248832 is a wasteful number, since it uses less digits than its factorization.

42248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110040 (or 110028 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 42248832 is about 6499.9101532252. The cubic root of 42248832 is about 348.2877788665.

The spelling of 42248832 in words is "forty-two million, two hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 110023 220046 330069 440092 660138 880184 1320276 1760368 2640552 3520736 5281104 7041472 10562208 14082944 21124416 42248832