Search a number
-
+
90892395 = 3351197631
BaseRepresentation
bin1010110101011…
…10100001101011
320100000210221000
411122232201223
5141232024040
613004050043
72152400256
oct532564153
9210023830
1090892395
1147340890
1226533923
1315aa51a9
14c10009d
157ea6130
hex56ae86b

90892395 has 64 divisors (see below), whose sum is σ = 178375680. Its totient is φ = 43545600.

The previous prime is 90892393. The next prime is 90892433. The reversal of 90892395 is 59329809.

It is not a de Polignac number, because 90892395 - 21 = 90892393 is a prime.

It is a super-2 number, since 2×908923952 = 16522854937672050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90892395.

It is not an unprimeable number, because it can be changed into a prime (90892393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143730 + ... + 144360.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 290892395 is an apocalyptic number.

90892395 is a deficient number, since it is larger than the sum of its proper divisors (87483285).

90892395 is a wasteful number, since it uses less digits than its factorization.

90892395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 90892395 is about 9533.7503113937. The cubic root of 90892395 is about 449.6167848619.

The spelling of 90892395 in words is "ninety million, eight hundred ninety-two thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 97 99 135 165 291 297 485 495 631 873 1067 1455 1485 1893 2619 3155 3201 4365 5335 5679 6941 9465 9603 13095 16005 17037 20823 28395 28809 34705 48015 61207 62469 85185 104115 144045 183621 187407 306035 312345 550863 673277 918105 937035 1652589 2019831 2754315 3366385 6059493 8262945 10099155 18178479 30297465 90892395