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93114441 = 36771257
BaseRepresentation
bin1011000110011…
…01000001001001
320111012201000000
411203031001021
5142314130231
613123433213
72210313450
oct543150111
9214181000
1093114441
1148619292
1227225809
13163a2704
14c51bb97
1582946e6
hex58cd049

93114441 has 56 divisors (see below), whose sum is σ = 162428544. Its totient is φ = 52254720.

The previous prime is 93114431. The next prime is 93114443. The reversal of 93114441 is 14441139.

It is not a de Polignac number, because 93114441 - 210 = 93113417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93114443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 362185 + ... + 362441.

Almost surely, 293114441 is an apocalyptic number.

It is an amenable number.

93114441 is a deficient number, since it is larger than the sum of its proper divisors (69314103).

93114441 is an equidigital number, since it uses as much as digits as its factorization.

93114441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 93114441 is about 9649.5824261986. The cubic root of 93114441 is about 453.2512531013.

The spelling of 93114441 in words is "ninety-three million, one hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 71 81 189 213 243 257 497 567 639 729 771 1491 1701 1799 1917 2313 4473 5103 5397 5751 6939 13419 16191 17253 18247 20817 40257 48573 51759 54741 62451 120771 127729 145719 164223 187353 362313 383187 437157 492669 1149561 1311471 1478007 3448683 4434021 10346049 13302063 31038147 93114441