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93089072 = 2429439457
BaseRepresentation
bin1011000110001…
…10110100110000
320111011102012102
411203012310300
5142312322242
613123115532
72210146466
oct543066460
9214142172
1093089072
114860121a
1227212ba8
1316393cbb
14c512836
15828be32
hex58c6d30

93089072 has 40 divisors (see below), whose sum is σ = 187413600. Its totient is φ = 44739072.

The previous prime is 93089071. The next prime is 93089099. The reversal of 93089072 is 27098039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93089071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203468 + ... + 203924.

It is an arithmetic number, because the mean of its divisors is an integer number (4685340).

Almost surely, 293089072 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 93089072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93706800).

93089072 is an abundant number, since it is smaller than the sum of its proper divisors (94324528).

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

93089072 is a wasteful number, since it uses less digits than its factorization.

93089072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 93089072 is about 9648.2678238117. The cubic root of 93089072 is about 453.2100866423.

The spelling of 93089072 in words is "ninety-three million, eighty-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 439 457 464 878 914 1756 1828 3512 3656 7024 7312 12731 13253 25462 26506 50924 53012 101848 106024 200623 203696 212048 401246 802492 1604984 3209968 5818067 11636134 23272268 46544536 93089072