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97882645 = 57267289
BaseRepresentation
bin1011101010110…
…01001000010101
320211011221202011
411311121020111
5200024221040
613413544221
72265663100
oct565311025
9224157664
1097882645
1150285753
1228945071
1317381b33
14cddd737
1588d73ea
hex5d59215

97882645 has 36 divisors (see below), whose sum is σ = 140264460. Its totient is φ = 65374848.

The previous prime is 97882643. The next prime is 97882693. The reversal of 97882645 is 54628879.

It can be written as a sum of positive squares in 2 ways, for example, as 26615281 + 71267364 = 5159^2 + 8442^2 .

It is not a de Polignac number, because 97882645 - 21 = 97882643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (967680) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97882643) 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 35 ways as a sum of consecutive naturals, for example, 1099761 + ... + 1099849.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 297882645 is an apocalyptic number.

It is an amenable number.

97882645 is a deficient number, since it is larger than the sum of its proper divisors (42381815).

97882645 is an equidigital number, since it uses as much as digits as its factorization.

97882645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 168 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 97882645 is about 9893.5658384629. The cubic root of 97882645 is about 460.8595224483.

The spelling of 97882645 in words is "ninety-seven million, eight hundred eighty-two thousand, six hundred forty-five".

Divisors: 1 5 7 35 49 67 89 245 335 445 469 623 2345 3115 3283 4361 4489 5963 16415 21805 22445 29815 31423 41741 157115 208705 219961 292187 399521 1099805 1460935 1997605 2796647 13983235 19576529 97882645