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93649116 = 223116710589
BaseRepresentation
bin1011001010011…
…11100011011100
320112012212102210
411211033203130
5142433232431
613143120420
72215001331
oct545174334
9215185383
1093649116
1148953a70
1227443110
131652bba2
14c61a988
15834cd46
hex594f8dc

93649116 has 48 divisors (see below), whose sum is σ = 241960320. Its totient is φ = 27952320.

The previous prime is 93649111. The next prime is 93649117. The reversal of 93649116 is 61194639.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93649111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3550 + ... + 14138.

It is an arithmetic number, because the mean of its divisors is an integer number (5040840).

Almost surely, 293649116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93649116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120980160).

93649116 is an abundant number, since it is smaller than the sum of its proper divisors (148311204).

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

93649116 is a wasteful number, since it uses less digits than its factorization.

93649116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674 (or 10672 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 93649116 is about 9677.2473358905. The cubic root of 93649116 is about 454.1171400398.

The spelling of 93649116 in words is "ninety-three million, six hundred forty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844 10589 21178 31767 42356 63534 116479 127068 232958 349437 465916 698874 709463 1397748 1418926 2128389 2837852 4256778 7804093 8513556 15608186 23412279 31216372 46824558 93649116