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93088996 = 227111367347
BaseRepresentation
bin1011000110001…
…10110011100100
320111011102002121
411203012303210
5142312321441
613123115324
72210146330
oct543066344
9214142077
1093088996
1148601160
1227212b44
1316393c60
14c5127c0
15828bdd1
hex58c6ce4

93088996 has 96 divisors (see below), whose sum is σ = 222630912. Its totient is φ = 32883840.

The previous prime is 93088987. The next prime is 93088997. The reversal of 93088996 is 69988039.

It is a super-2 number, since 2×930889962 = 17331122352576032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (93088997) by changing a digit.

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, 268095 + ... + 268441.

It is an arithmetic number, because the mean of its divisors is an integer number (2319072).

Almost surely, 293088996 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 93088996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111315456).

93088996 is an abundant number, since it is smaller than the sum of its proper divisors (129541916).

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

93088996 is a wasteful number, since it uses less digits than its factorization.

93088996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 93088996 is about 9648.2638852801. The cubic root of 93088996 is about 453.2099633054.

The spelling of 93088996 in words is "ninety-three million, eighty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 67 77 91 134 143 154 182 268 286 308 347 364 469 572 694 737 871 938 1001 1388 1474 1742 1876 2002 2429 2948 3484 3817 4004 4511 4858 5159 6097 7634 9022 9581 9716 10318 12194 15268 18044 19162 20636 23249 24388 26719 31577 38324 46498 49621 53438 63154 67067 92996 99242 106876 126308 134134 162743 198484 255739 268268 302237 325486 347347 511478 604474 650972 694694 1022956 1208948 1389388 1790173 2115659 3324607 3580346 4231318 6649214 7160692 8462636 13298428 23272249 46544498 93088996