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91972469 = 232173861
BaseRepresentation
bin1010111101101…
…10001101110101
320102001200111202
411132312031311
5142021104334
613043142245
72164516211
oct536661565
9212050452
1091972469
1147a09306
1226974985
13160929a4
14c301941
15811b17e
hex57b6375

91972469 has 6 divisors (see below), whose sum is σ = 96145686. Its totient is φ = 87973160.

The previous prime is 91972459. The next prime is 91972487. The reversal of 91972469 is 96427919.

It can be written as a sum of positive squares in only one way, i.e., 87198244 + 4774225 = 9338^2 + 2185^2 .

It is a de Polignac number, because none of the positive numbers 2k-91972469 is a prime.

It is a super-3 number, since 3×919724693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91972459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86402 + ... + 87459.

It is an arithmetic number, because the mean of its divisors is an integer number (16024281).

Almost surely, 291972469 is an apocalyptic number.

It is an amenable number.

91972469 is a deficient number, since it is larger than the sum of its proper divisors (4173217).

91972469 is a wasteful number, since it uses less digits than its factorization.

91972469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173907 (or 173884 counting only the distinct ones).

The product of its digits is 244944, while the sum is 47.

The square root of 91972469 is about 9590.2277866587. The cubic root of 91972469 is about 451.3907083394.

The spelling of 91972469 in words is "ninety-one million, nine hundred seventy-two thousand, four hundred sixty-nine".

Divisors: 1 23 529 173861 3998803 91972469