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93288996 = 22341716937
BaseRepresentation
bin1011000111101…
…11101000100100
320111112120110000
411203313220210
5142340221441
613131301300
72211641403
oct543675044
9214476400
1093288996
1148728449
12272aa830
1316433cb8
14c56563a
1582cb2b6
hex58f7a24

93288996 has 60 divisors (see below), whose sum is σ = 258236748. Its totient is φ = 29265408.

The previous prime is 93288977. The next prime is 93288997. The reversal of 93288996 is 69988239.

It can be written as a sum of positive squares in 2 ways, for example, as 53144100 + 40144896 = 7290^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (93288997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2961 + ... + 13976.

Almost surely, 293288996 is an apocalyptic number.

It is an amenable number.

93288996 is an abundant number, since it is smaller than the sum of its proper divisors (164947752).

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

93288996 is a wasteful number, since it uses less digits than its factorization.

93288996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16970 (or 16959 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 93288996 is about 9658.6228832065. The cubic root of 93288996 is about 453.5343022344.

The spelling of 93288996 in words is "ninety-three million, two hundred eighty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 16937 33874 50811 67748 101622 152433 203244 287929 304866 457299 575858 609732 863787 914598 1151716 1371897 1727574 1829196 2591361 2743794 3455148 5182722 5487588 7774083 10365444 15548166 23322249 31096332 46644498 93288996