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102044826 = 23313612383
BaseRepresentation
bin1100001010100…
…01010010011010
321010000102012000
412011101102122
5202110413301
614043101430
72346236532
oct605212232
9233012160
10102044826
1152668874
122a211876
13181ab470
14d7a44c2
158e5a786
hex615149a

102044826 has 64 divisors (see below), whose sum is σ = 248317440. Its totient is φ = 30870720.

The previous prime is 102044809. The next prime is 102044827. The reversal of 102044826 is 628440201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102044826.

It is not an unprimeable number, because it can be changed into a prime (102044827) 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 31 ways as a sum of consecutive naturals, for example, 41631 + ... + 44013.

It is an arithmetic number, because the mean of its divisors is an integer number (3879960).

Almost surely, 2102044826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102044826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124158720).

102044826 is an abundant number, since it is smaller than the sum of its proper divisors (146272614).

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

102044826 is a wasteful number, since it uses less digits than its factorization.

102044826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102044826 is about 10101.7239122835. The cubic root of 102044826 is about 467.3013078466.

The spelling of 102044826 in words is "one hundred two million, forty-four thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 549 702 793 1098 1586 1647 2379 2383 3294 4758 4766 7137 7149 14274 14298 21411 21447 30979 42822 42894 61958 64341 92937 128682 145363 185874 278811 290726 436089 557622 836433 872178 1308267 1672866 1889719 2616534 3779438 3924801 5669157 7849602 11338314 17007471 34014942 51022413 102044826