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93401088 = 212311691
BaseRepresentation
bin1011001000100…
…11000000000000
320111202021012120
411210103000000
5142402313323
613133524240
72212616244
oct544230000
9214667176
1093401088
11487a4690
1227343680
1316473021
14c594424
1582ee5e3
hex5913000

93401088 has 104 divisors (see below), whose sum is σ = 272072256. Its totient is φ = 28262400.

The previous prime is 93401081. The next prime is 93401107. The reversal of 93401088 is 88010439.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (93401081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134823 + ... + 135513.

Almost surely, 293401088 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 93401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136036128).

93401088 is an abundant number, since it is smaller than the sum of its proper divisors (178671168).

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

93401088 is a wasteful number, since it uses less digits than its factorization.

93401088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 93401088 is about 9664.4238317657. The cubic root of 93401088 is about 453.7158785595.

The spelling of 93401088 in words is "ninety-three million, four hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 691 704 768 1024 1056 1382 1408 1536 2048 2073 2112 2764 2816 3072 4096 4146 4224 5528 5632 6144 7601 8292 8448 11056 11264 12288 15202 16584 16896 22112 22528 22803 30404 33168 33792 44224 45056 45606 60808 66336 67584 88448 91212 121616 132672 135168 176896 182424 243232 265344 353792 364848 486464 530688 707584 729696 972928 1061376 1415168 1459392 1945856 2122752 2830336 2918784 3891712 4245504 5837568 7783424 8491008 11675136 15566848 23350272 31133696 46700544 93401088