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93394944 = 21134563
BaseRepresentation
bin1011001000100…
…01100000000000
320111201221210000
411210101200000
5142402114234
613133440000
72212562316
oct544214000
9214657700
1093394944
11487a0005
1227340000
13164702a6
14c5920b6
1582ec899
hex5911800

93394944 has 120 divisors (see below), whose sum is σ = 279459180. Its totient is φ = 31076352.

The previous prime is 93394943. The next prime is 93394949. The reversal of 93394944 is 44949339.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 93394944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93394943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165607 + ... + 166169.

Almost surely, 293394944 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 93394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139729590).

93394944 is an abundant number, since it is smaller than the sum of its proper divisors (186064236).

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

93394944 is an equidigital number, since it uses as much as digits as its factorization.

93394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 568 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 93394944 is about 9664.1059596840. The cubic root of 93394944 is about 453.7059297407.

The spelling of 93394944 in words is "ninety-three million, three hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 563 576 648 768 864 1024 1126 1152 1296 1536 1689 1728 2048 2252 2304 2592 3072 3378 3456 4504 4608 5067 5184 6144 6756 6912 9008 9216 10134 10368 13512 13824 15201 18016 18432 20268 20736 27024 27648 30402 36032 40536 41472 45603 54048 55296 60804 72064 81072 82944 91206 108096 121608 144128 162144 165888 182412 216192 243216 288256 324288 364824 432384 486432 576512 648576 729648 864768 972864 1153024 1297152 1459296 1729536 1945728 2594304 2918592 3459072 3891456 5188608 5837184 7782912 10377216 11674368 15565824 23348736 31131648 46697472 93394944