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87393141 = 33111719911
BaseRepresentation
bin1010011010110…
…00001101110101
320002110000212000
411031120031311
5134333040031
612401045513
72110554333
oct515301565
9202400760
1087393141
1145370840
1225326899
131514b524
14b86cb53
157a143e6
hex5358375

87393141 has 64 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 47174400.

The previous prime is 87393139. The next prime is 87393151. The reversal of 87393141 is 14139378.

It is a happy number.

It is not a de Polignac number, because 87393141 - 21 = 87393139 is a prime.

It is a super-2 number, since 2×873931412 = 15275122187691762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87393096 and 87393105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87393121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95476 + ... + 96386.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 287393141 is an apocalyptic number.

It is an amenable number.

87393141 is a deficient number, since it is larger than the sum of its proper divisors (70200459).

87393141 is a wasteful number, since it uses less digits than its factorization.

87393141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 87393141 is about 9348.4298681650. The cubic root of 87393141 is about 443.7712024254.

The spelling of 87393141 in words is "eighty-seven million, three hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 3 9 11 17 19 27 33 51 57 99 153 171 187 209 297 323 459 513 561 627 911 969 1683 1881 2733 2907 3553 5049 5643 8199 8721 10021 10659 15487 17309 24597 30063 31977 46461 51927 90189 95931 139383 155781 170357 190399 270567 294253 418149 467343 511071 571197 882759 1533213 1713591 2648277 3236783 4599639 5140773 7944831 9710349 29131047 87393141