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97550082 = 2347212289
BaseRepresentation
bin1011101000001…
…11111100000010
320210120001120000
411310013330002
5144433100312
613402500430
72263106400
oct564077402
9223501500
1097550082
1150078903
1228804716
1317296656
14cd54470
15886dadc
hex5d07f02

97550082 has 60 divisors (see below), whose sum is σ = 254292390. Its totient is φ = 27869184.

The previous prime is 97550071. The next prime is 97550099. The reversal of 97550082 is 28005579.

97550082 is a `hidden beast` number, since 9 + 75 + 500 + 82 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70207641 + 27342441 = 8379^2 + 5229^2 .

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 29 ways as a sum of consecutive naturals, for example, 1794 + ... + 14082.

Almost surely, 297550082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97550082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127146195).

97550082 is an abundant number, since it is smaller than the sum of its proper divisors (156742308).

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

97550082 is a wasteful number, since it uses less digits than its factorization.

97550082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317 (or 12301 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 97550082 is about 9876.7445041370. The cubic root of 97550082 is about 460.3369962822.

The spelling of 97550082 in words is "ninety-seven million, five hundred fifty thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 12289 24578 36867 73734 86023 110601 172046 221202 258069 331803 516138 602161 663606 774207 995409 1204322 1548414 1806483 1990818 2322621 3612966 4645242 5419449 6967863 10838898 13935726 16258347 32516694 48775041 97550082