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41930280 = 23325722377
BaseRepresentation
bin1001111111110…
…0111000101000
32220220021112100
42133330320220
541213232110
64054413400
71016254500
oct237747050
986807470
1041930280
1121739927
1212061260
1388c1322
1457d6a00
153a33bc0
hex27fce28

41930280 has 144 divisors (see below), whose sum is σ = 158588820. Its totient is φ = 9580032.

The previous prime is 41930269. The next prime is 41930281. The reversal of 41930280 is 8203914.

It can be written as a sum of positive squares in 2 ways, for example, as 41293476 + 636804 = 6426^2 + 798^2 .

It is a super-3 number, since 3×419302803 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41930281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16452 + ... + 18828.

Almost surely, 241930280 is an apocalyptic number.

41930280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41930280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79294410).

41930280 is an abundant number, since it is smaller than the sum of its proper divisors (116658540).

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

41930280 is a wasteful number, since it uses less digits than its factorization.

41930280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41930280 is about 6475.3594494823. The cubic root of 41930280 is about 347.4102178212.

The spelling of 41930280 in words is "forty-one million, nine hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2377 2520 2940 3528 4410 4754 5880 7131 8820 9508 11885 14262 16639 17640 19016 21393 23770 28524 33278 35655 42786 47540 49917 57048 66556 71310 83195 85572 95080 99834 106965 116473 133112 142620 149751 166390 171144 199668 213930 232946 249585 285240 299502 332780 349419 399336 427860 465892 499170 582365 599004 665560 698838 748755 855720 931784 998340 1048257 1164730 1198008 1397676 1497510 1747095 1996680 2096514 2329460 2795352 2995020 3494190 4193028 4658920 5241285 5990040 6988380 8386056 10482570 13976760 20965140 41930280