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93885696 = 283317247
BaseRepresentation
bin1011001100010…
…01010100000000
320112122212222000
411212021110000
5143013320241
613152144000
72220005142
oct546112400
9215585860
1093885696
1148aa5793
1227538000
13165b2788
14c67cc92
158397eb6
hex5989500

93885696 has 216 divisors, whose sum is σ = 301203840. Its totient is φ = 28827648.

The previous prime is 93885691. The next prime is 93885703. The reversal of 93885696 is 69658839.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93885691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997545 + ... + 1997591.

Almost surely, 293885696 is an apocalyptic number.

93885696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150601920).

93885696 is an abundant number, since it is smaller than the sum of its proper divisors (207318144).

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

93885696 is a wasteful number, since it uses less digits than its factorization.

93885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 93885696 is about 9689.4631430229. The cubic root of 93885696 is about 454.4992212079.

The spelling of 93885696 in words is "ninety-three million, eight hundred eighty-five thousand, six hundred ninety-six".