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93813248 = 29412109
BaseRepresentation
bin1011001011101…
…11101000000000
320112112012120202
411211313220000
5143004010443
613150424332
72216254004
oct545675000
9215465522
1093813248
1148a56311
12275020a8
13165887c9
14c660704
1583817b8
hex5977a00

93813248 has 60 divisors (see below), whose sum is σ = 193889190. Its totient is φ = 45342720.

The previous prime is 93813227. The next prime is 93813271. The reversal of 93813248 is 84231839.

It can be written as a sum of positive squares in 3 ways, for example, as 40347904 + 53465344 = 6352^2 + 7312^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 860618 + ... + 860726.

Almost surely, 293813248 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 93813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96944595).

93813248 is an abundant number, since it is smaller than the sum of its proper divisors (100075942).

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

93813248 is an equidigital number, since it uses as much as digits as its factorization.

93813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 152 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 93813248 is about 9685.7239275131. The cubic root of 93813248 is about 454.3822845702.

The spelling of 93813248 in words is "ninety-three million, eight hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 109 128 164 218 256 328 436 512 656 872 1312 1681 1744 2624 3362 3488 4469 5248 6724 6976 8938 10496 13448 13952 17876 20992 26896 27904 35752 53792 55808 71504 107584 143008 183229 215168 286016 366458 430336 572032 732916 860672 1144064 1465832 2288128 2931664 5863328 11726656 23453312 46906624 93813248