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93299328 = 273280989
BaseRepresentation
bin1011000111110…
…10001010000000
320111120002121200
411203322022000
5142341034303
613131421200
72212013463
oct543721200
9214502550
1093299328
1148735191
12272b4800
1316438905
14c5692da
1582ce3a3
hex58fa280

93299328 has 48 divisors (see below), whose sum is σ = 268481850. Its totient is φ = 31099392.

The previous prime is 93299321. The next prime is 93299333. The reversal of 93299328 is 82399239.

It can be written as a sum of positive squares in only one way, i.e., 56430144 + 36869184 = 7512^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93299321) 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 5 ways as a sum of consecutive naturals, for example, 39343 + ... + 41646.

Almost surely, 293299328 is an apocalyptic number.

It is an amenable number.

93299328 is an abundant number, since it is smaller than the sum of its proper divisors (175182522).

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

93299328 is a wasteful number, since it uses less digits than its factorization.

93299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81009 (or 80994 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 93299328 is about 9659.1577272555. The cubic root of 93299328 is about 453.5510449859.

The spelling of 93299328 in words is "ninety-three million, two hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 80989 161978 242967 323956 485934 647912 728901 971868 1295824 1457802 1943736 2591648 2915604 3887472 5183296 5831208 7774944 10366592 11662416 15549888 23324832 31099776 46649664 93299328