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31789485 = 32572131109
BaseRepresentation
bin111100101000…
…1000110101101
32012211001222100
41321101012231
531114230420
63053205313
7534130500
oct171210655
965731870
1031789485
1116a42a02
12a790839
136780660
144317137
152bce190
hex1e511ad

31789485 has 72 divisors (see below), whose sum is σ = 69090840. Its totient is φ = 13402368.

The previous prime is 31789463. The next prime is 31789493. The reversal of 31789485 is 58498713.

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 30503529 = 1134^2 + 5523^2 .

It is not a de Polignac number, because 31789485 - 26 = 31789421 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31789485.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 28111 + ... + 29219.

It is an arithmetic number, because the mean of its divisors is an integer number (959595).

Almost surely, 231789485 is an apocalyptic number.

31789485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31789485 is an abundant number, since it is smaller than the sum of its proper divisors (37301355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31789485 is a wasteful number, since it uses less digits than its factorization.

31789485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 31789485 is about 5638.2164733185. The cubic root of 31789485 is about 316.7824870274.

The spelling of 31789485 in words is "thirty-one million, seven hundred eighty-nine thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1109 1365 1911 2205 3185 3327 4095 5545 5733 7763 9555 9981 14417 16635 23289 28665 38815 43251 49905 54341 69867 72085 100919 116445 129753 163023 216255 271705 302757 349335 489069 504595 648765 706433 815115 908271 1513785 2119299 2445345 3532165 4541355 6357897 10596495 31789485