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93041024 = 271967571
BaseRepresentation
bin1011000101110…
…11000110000000
320111001222021212
411202323012000
5142304303044
613122105252
72206556426
oct542730600
9214058255
1093041024
114857910a
12271ab228
131637817b
14c4dd116
15827ca9e
hex58bb180

93041024 has 64 divisors (see below), whose sum is σ = 198369600. Its totient is φ = 43338240.

The previous prime is 93041021. The next prime is 93041071. The reversal of 93041024 is 42014039.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93041021) 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 7 ways as a sum of consecutive naturals, for example, 162659 + ... + 163229.

It is an arithmetic number, because the mean of its divisors is an integer number (3099525).

Almost surely, 293041024 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 93041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99184800).

93041024 is an abundant number, since it is smaller than the sum of its proper divisors (105328576).

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

93041024 is a wasteful number, since it uses less digits than its factorization.

93041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 93041024 is about 9645.7775217968. Note that the first 3 decimals coincide. The cubic root of 93041024 is about 453.1320983050.

The spelling of 93041024 in words is "ninety-three million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 268 304 536 571 608 1072 1142 1216 1273 2144 2284 2432 2546 4288 4568 5092 8576 9136 10184 10849 18272 20368 21698 36544 38257 40736 43396 73088 76514 81472 86792 153028 162944 173584 306056 347168 612112 694336 726883 1224224 1388672 1453766 2448448 2907532 4896896 5815064 11630128 23260256 46520512 93041024