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97026336 = 2534114183
BaseRepresentation
bin1011100100010…
…00000100100000
320202120110010000
411302020010200
5144314320321
613343340000
72255465421
oct562100440
9222513100
1097026336
114a850360
12285b1600
1317142144
14cc59648
1587b8826
hex5c88120

97026336 has 240 divisors, whose sum is σ = 322727328. Its totient is φ = 28339200.

The previous prime is 97026323. The next prime is 97026337. The reversal of 97026336 is 63362079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 97026336.

It is not an unprimeable number, because it can be changed into a prime (97026337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1168951 + ... + 1169033.

Almost surely, 297026336 is an apocalyptic number.

97026336 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 97026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161363664).

97026336 is an abundant number, since it is smaller than the sum of its proper divisors (225700992).

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

97026336 is a wasteful number, since it uses less digits than its factorization.

97026336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 97026336 is about 9850.1947188875. The cubic root of 97026336 is about 459.5116682905.

It can be divided in two parts, 970263 and 36, that added together give a cube (970299 = 993).

The spelling of 97026336 in words is "ninety-seven million, twenty-six thousand, three hundred thirty-six".