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90940311 = 32711281467
BaseRepresentation
bin1010110101110…
…10001110010111
320100010020122200
411122322032113
5141240042221
613005055543
72152660050
oct532721627
9210106580
1090940311
1147373890
12265575b3
1315ac0c47
14c113727
157eb5426
hex56ba397

90940311 has 48 divisors (see below), whose sum is σ = 164706048. Its totient is φ = 46972800.

The previous prime is 90940307. The next prime is 90940357. The reversal of 90940311 is 11304909.

It is not a de Polignac number, because 90940311 - 22 = 90940307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90940301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194500 + ... + 194966.

It is an arithmetic number, because the mean of its divisors is an integer number (3431376).

Almost surely, 290940311 is an apocalyptic number.

90940311 is a deficient number, since it is larger than the sum of its proper divisors (73765737).

90940311 is a wasteful number, since it uses less digits than its factorization.

90940311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90940311 is about 9536.2629472975. The cubic root of 90940311 is about 449.6957795647.

The spelling of 90940311 in words is "ninety million, nine hundred forty thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 281 467 693 843 1401 1967 2529 3091 3269 4203 5137 5901 9273 9807 15411 17703 21637 27819 29421 35959 46233 64911 107877 131227 194733 323631 393681 918589 1181043 1443497 2755767 4330491 8267301 10104479 12991473 30313437 90940311