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93681441 = 347179719
BaseRepresentation
bin1011001010101…
…11011100100001
320112021111210000
411211113130201
5142440301231
613143530213
72215164510
oct545273441
9215244700
1093681441
1148976287
1227459969
1316540809
14c628677
1583576e6
hex5957721

93681441 has 40 divisors (see below), whose sum is σ = 169361280. Its totient is φ = 50378112.

The previous prime is 93681431. The next prime is 93681443. The reversal of 93681441 is 14418639.

It is not a de Polignac number, because 93681441 - 211 = 93679393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 93681396 and 93681405.

It is not an unprimeable number, because it can be changed into a prime (93681443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4780 + ... + 14498.

It is an arithmetic number, because the mean of its divisors is an integer number (4234032).

Almost surely, 293681441 is an apocalyptic number.

It is an amenable number.

93681441 is a deficient number, since it is larger than the sum of its proper divisors (75679839).

93681441 is a wasteful number, since it uses less digits than its factorization.

93681441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755 (or 9746 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 93681441 is about 9678.9173464804. The cubic root of 93681441 is about 454.1693834513.

The spelling of 93681441 in words is "ninety-three million, six hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 459 567 1071 1377 3213 9639 9719 29157 68033 87471 165223 204099 262413 495669 612297 787239 1156561 1487007 1836891 3469683 4461021 5510673 10409049 13383063 31227147 93681441