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89312496 = 243721323127
BaseRepresentation
bin1010101001011…
…00110011110000
320020001112201020
411110230303300
5140330444441
612510135440
72133100200
oct524546360
9206045636
1089312496
1146461889
1225ab1580
1315671040
14bc0c400
157c92e66
hex552ccf0

89312496 has 240 divisors, whose sum is σ = 303980544. Its totient is φ = 22353408.

The previous prime is 89312491. The next prime is 89312497. The reversal of 89312496 is 69421398.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89312491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703185 + ... + 703311.

Almost surely, 289312496 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 89312496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

89312496 is an abundant number, since it is smaller than the sum of its proper divisors (214668048).

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

89312496 is a wasteful number, since it uses less digits than its factorization.

89312496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 89312496 is about 9450.5288740895. The cubic root of 89312496 is about 446.9964515831.

The spelling of 89312496 in words is "eighty-nine million, three hundred twelve thousand, four hundred ninety-six".