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93208668 = 22372983461
BaseRepresentation
bin1011000111001…
…00000001011100
320111101111020220
411203210001130
5142330134133
613125441340
72211155250
oct543440134
9214344226
1093208668
1148683063
1227270250
1316406577
14c544260
1582b25b3
hex58e405c

93208668 has 96 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 25347840.

The previous prime is 93208651. The next prime is 93208669. The reversal of 93208668 is 86680239.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93208669) 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 31 ways as a sum of consecutive naturals, for example, 201958 + ... + 202418.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 293208668 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 93208668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

93208668 is an abundant number, since it is smaller than the sum of its proper divisors (167581092).

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

93208668 is a wasteful number, since it uses less digits than its factorization.

93208668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 93208668 is about 9654.4636308808. The cubic root of 93208668 is about 453.4040905030.

The spelling of 93208668 in words is "ninety-three million, two hundred eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 83 84 87 116 166 174 203 249 332 348 406 461 498 581 609 812 922 996 1162 1218 1383 1743 1844 2324 2407 2436 2766 3227 3486 4814 5532 6454 6972 7221 9628 9681 12908 13369 14442 16849 19362 26738 28884 33698 38263 38724 40107 50547 53476 67396 76526 80214 93583 101094 114789 153052 160428 187166 202188 229578 267841 280749 374332 459156 535682 561498 803523 1071364 1109627 1122996 1607046 2219254 3214092 3328881 4438508 6657762 7767389 13315524 15534778 23302167 31069556 46604334 93208668