[go: up one dir, main page]

Search a number
-
+
41122440 = 23325114229
BaseRepresentation
bin1001110011011…
…1101010001000
32212101020101100
42130313222020
541011404230
64025221400
71006351332
oct234675210
985336340
1041122440
1121237997
1211931860
13869a708
145666452
153924660
hex2737a88

41122440 has 48 divisors (see below), whose sum is σ = 133649100. Its totient is φ = 10965888.

The previous prime is 41122421. The next prime is 41122457. The reversal of 41122440 is 4422114.

41122440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40678884 + 443556 = 6378^2 + 666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 56755 + ... + 57474.

Almost surely, 241122440 is an apocalyptic number.

41122440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41122440 is an abundant number, since it is smaller than the sum of its proper divisors (92526660).

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

41122440 is a wasteful number, since it uses less digits than its factorization.

41122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114246 (or 114239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41122440 is about 6412.6780677031. The cubic root of 41122440 is about 345.1646347190.

Adding to 41122440 its reverse (4422114), we get a palindrome (45544554).

The spelling of 41122440 in words is "forty-one million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 114229 228458 342687 456916 571145 685374 913832 1028061 1142290 1370748 1713435 2056122 2284580 2741496 3426870 4112244 4569160 5140305 6853740 8224488 10280610 13707480 20561220 41122440