Search a number
-
+
41781480 = 23351326783
BaseRepresentation
bin1001111101100…
…0100011101000
32220121201102020
42133120203220
541144001410
64051304440
71015064616
oct237304350
986551366
1041781480
1121648054
1211bab120
13886b690
1457986b6
153a04a70
hex27d88e8

41781480 has 64 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 10284288.

The previous prime is 41781479. The next prime is 41781491. The reversal of 41781480 is 8418714.

41781480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×417814803 (a number of 24 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11832 + ... + 14951.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 241781480 is an apocalyptic number.

41781480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41781480 is an abundant number, since it is smaller than the sum of its proper divisors (93209880).

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

41781480 is a wasteful number, since it uses less digits than its factorization.

41781480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26810 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 41781480 is about 6463.8595281766. The cubic root of 41781480 is about 346.9987736200.

The spelling of 41781480 in words is "forty-one million, seven hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 26783 53566 80349 107132 133915 160698 214264 267830 321396 348179 401745 535660 642792 696358 803490 1044537 1071320 1392716 1606980 1740895 2089074 2785432 3213960 3481790 4178148 5222685 6963580 8356296 10445370 13927160 20890740 41781480