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102249642 = 23117272131
BaseRepresentation
bin1100001100000…
…11010010101010
321010101211010210
412012003102222
5202133442032
614051321550
72351051625
oct606032252
9233354123
10102249642
1152798740
122a2b02b6
1318250761
14d818dbc
158e9b2cc
hex61834aa

102249642 has 32 divisors (see below), whose sum is σ = 223501824. Its totient is φ = 30927600.

The previous prime is 102249629. The next prime is 102249649. The reversal of 102249642 is 246942201.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (102249649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46917 + ... + 49047.

It is an arithmetic number, because the mean of its divisors is an integer number (6984432).

Almost surely, 2102249642 is an apocalyptic number.

102249642 is an abundant number, since it is smaller than the sum of its proper divisors (121252182).

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

102249642 is a wasteful number, since it uses less digits than its factorization.

102249642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 102249642 is about 10111.8565061021. The cubic root of 102249642 is about 467.6137418538.

The spelling of 102249642 in words is "one hundred two million, two hundred forty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 727 1454 2131 2181 4262 4362 6393 7997 12786 15994 23441 23991 46882 47982 70323 140646 1549237 3098474 4647711 9295422 17041607 34083214 51124821 102249642