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90928971 = 32717591439
BaseRepresentation
bin1010110101101…
…11011101001011
320100002200002200
411122313131023
5141234211341
613004531243
72152612020
oct532673513
9210080080
1090928971
1147366311
1226550b23
1315ab8a33
14c10d547
157eb1db6
hex56b774b

90928971 has 48 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 48040704.

The previous prime is 90928969. The next prime is 90928991. The reversal of 90928971 is 17982909.

It is not a de Polignac number, because 90928971 - 21 = 90928969 is a prime.

It is a super-4 number, since 4×909289714 (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (90928931) 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 47 ways as a sum of consecutive naturals, for example, 62470 + ... + 63908.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 290928971 is an apocalyptic number.

90928971 is a deficient number, since it is larger than the sum of its proper divisors (70811829).

90928971 is a wasteful number, since it uses less digits than its factorization.

90928971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 90928971 is about 9535.6683562297. The cubic root of 90928971 is about 449.6770868564.

The spelling of 90928971 in words is "ninety million, nine hundred twenty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 17 21 51 59 63 119 153 177 357 413 531 1003 1071 1239 1439 3009 3717 4317 7021 9027 10073 12951 21063 24463 30219 63189 73389 84901 90657 171241 220167 254703 513723 594307 764109 1443317 1541169 1782921 4329951 5348763 10103219 12989853 30309657 90928971