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91004256 = 2533741367
BaseRepresentation
bin1010110110010…
…01110101100000
320100020111101000
411123021311200
5141244114011
613010312000
72153344350
oct533116540
9210214330
1091004256
1147407932
1226588600
1315b14095
14c12cb60
157ec9356
hex56c9d60

91004256 has 192 divisors, whose sum is σ = 311592960. Its totient is φ = 25297920.

The previous prime is 91004237. The next prime is 91004279. The reversal of 91004256 is 65240019.

It is a super-2 number, since 2×910042562 = 16563549220227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 247785 + ... + 248151.

It is an arithmetic number, because the mean of its divisors is an integer number (1622880).

Almost surely, 291004256 is an apocalyptic number.

91004256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155796480).

91004256 is an abundant number, since it is smaller than the sum of its proper divisors (220588704).

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

91004256 is a wasteful number, since it uses less digits than its factorization.

91004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 91004256 is about 9539.6150865745. The cubic root of 91004256 is about 449.8011565936.

The spelling of 91004256 in words is "ninety-one million, four thousand, two hundred fifty-six".