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32828048 = 2411199817
BaseRepresentation
bin111110100111…
…0101010010000
32021202211121122
41331032222100
531400444143
63131341412
7546014411
oct175165220
967684548
1032828048
1117592220
12abb1868
136a552a6
144507808
152d36c68
hex1f4ea90

32828048 has 40 divisors (see below), whose sum is σ = 73045920. Its totient is φ = 14135040.

The previous prime is 32828023. The next prime is 32828083. The reversal of 32828048 is 84082823.

It is a junction number, because it is equal to n+sod(n) for n = 32827999 and 32828017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1565 + ... + 8252.

It is an arithmetic number, because the mean of its divisors is an integer number (1826148).

Almost surely, 232828048 is an apocalyptic number.

32828048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

32828048 is an abundant number, since it is smaller than the sum of its proper divisors (40217872).

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

32828048 is a wasteful number, since it uses less digits than its factorization.

32828048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 32828048 is about 5729.5765986677. The cubic root of 32828048 is about 320.1953494713.

The spelling of 32828048 in words is "thirty-two million, eight hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 9817 19634 39268 78536 107987 157072 186523 215974 373046 431948 746092 863896 1492184 1727792 2051753 2984368 4103506 8207012 16414024 32828048