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93897684 = 223323103367
BaseRepresentation
bin1011001100011…
…00001111010100
320112200111102000
411212030033110
5143014211214
613152315300
72220055116
oct546141724
9215614360
1093897684
11490037a1
1227542b30
13165b807a
14c6833b6
15839b809
hex598c3d4

93897684 has 96 divisors (see below), whose sum is σ = 257187840. Its totient is φ = 29566944.

The previous prime is 93897673. The next prime is 93897691. The reversal of 93897684 is 48679839.

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

It is a self number, because there is not a number n which added to its sum of digits gives 93897684.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 255669 + ... + 256035.

It is an arithmetic number, because the mean of its divisors is an integer number (2679040).

Almost surely, 293897684 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 93897684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128593920).

93897684 is an abundant number, since it is smaller than the sum of its proper divisors (163290156).

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

93897684 is a wasteful number, since it uses less digits than its factorization.

93897684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 93897684 is about 9690.0817334014. The cubic root of 93897684 is about 454.5185649596.

The spelling of 93897684 in words is "ninety-three million, eight hundred ninety-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 103 108 138 206 207 276 309 367 412 414 618 621 734 828 927 1101 1236 1242 1468 1854 2202 2369 2484 2781 3303 3708 4404 4738 5562 6606 7107 8441 9476 9909 11124 13212 14214 16882 19818 21321 25323 28428 33764 37801 39636 42642 50646 63963 75602 75969 85284 101292 113403 127926 151204 151938 226806 227907 255852 303876 340209 453612 455814 680418 869423 911628 1020627 1360836 1738846 2041254 2608269 3477692 4082508 5216538 7824807 10433076 15649614 23474421 31299228 46948842 93897684