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51394590 = 232513231109
BaseRepresentation
bin1100010000001…
…1100000011110
310120201010010100
43010003200132
5101124111330
65033321530
71162563312
oct304034036
9116633110
1051394590
1127013575
12152662a6
13a856100
146b7bb42
1547a3060
hex310381e

51394590 has 144 divisors (see below), whose sum is σ = 150733440. Its totient is φ = 12130560.

The previous prime is 51394579. The next prime is 51394613. The reversal of 51394590 is 9549315.

51394590 is a `hidden beast` number, since 513 + 94 + 59 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471456 + ... + 471564.

It is an arithmetic number, because the mean of its divisors is an integer number (1046760).

Almost surely, 251394590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51394590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75366720).

51394590 is an abundant number, since it is smaller than the sum of its proper divisors (99338850).

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

51394590 is a wasteful number, since it uses less digits than its factorization.

51394590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 51394590 is about 7169.0020225970. The cubic root of 51394590 is about 371.7969321800.

It can be divided in two parts, 51394 and 590, that added together give a square (51984 = 2282).

The spelling of 51394590 in words is "fifty-one million, three hundred ninety-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 109 117 130 155 169 186 195 218 234 279 310 327 338 390 403 465 507 545 558 585 654 806 845 930 981 1014 1090 1170 1209 1395 1417 1521 1635 1690 1962 2015 2418 2535 2790 2834 3042 3270 3379 3627 4030 4251 4905 5070 5239 6045 6758 7085 7254 7605 8502 9810 10137 10478 12090 12753 14170 15210 15717 16895 18135 18421 20274 21255 25506 26195 30411 31434 33790 36270 36842 42510 43927 47151 50685 52390 55263 60822 63765 78585 87854 92105 94302 101370 110526 127530 131781 152055 157170 165789 184210 219635 235755 263562 276315 304110 331578 395343 439270 471510 552630 571051 658905 790686 828945 1142102 1317810 1657890 1713153 1976715 2855255 3426306 3953430 5139459 5710510 8565765 10278918 17131530 25697295 51394590