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41212420 = 22517472579
BaseRepresentation
bin1001110100110…
…1101000000100
32212112210210221
42131031220010
541022244140
64031154124
71010204554
oct235155004
985483727
1041212420
1121299557
1211975944
1386cc662
14568b164
15394114a
hex274da04

41212420 has 48 divisors (see below), whose sum is σ = 93623040. Its totient is φ = 15179264.

The previous prime is 41212399. The next prime is 41212439. The reversal of 41212420 is 2421214.

It is a junction number, because it is equal to n+sod(n) for n = 41212394 and 41212403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14691 + ... + 17269.

It is an arithmetic number, because the mean of its divisors is an integer number (1950480).

Almost surely, 241212420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46811520).

41212420 is an abundant number, since it is smaller than the sum of its proper divisors (52410620).

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

41212420 is a wasteful number, since it uses less digits than its factorization.

41212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 41212420 is about 6419.6900236694. The cubic root of 41212420 is about 345.4162028711.

Adding to 41212420 its reverse (2421214), we get a palindrome (43633634).

The spelling of 41212420 in words is "forty-one million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 2579 3196 3995 5158 7990 10316 12895 15980 25790 43843 51580 87686 121213 175372 219215 242426 438430 484852 606065 876860 1212130 2060621 2424260 4121242 8242484 10303105 20606210 41212420