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41224032 = 253347713
BaseRepresentation
bin1001110101000…
…0011101100000
32212120101202000
42131100131200
541023132112
64031324000
71010253453
oct235203540
985511660
1041224032
11212a7253
1211980600
138704a25
14569149a
1539447dc
hex2750760

41224032 has 48 divisors (see below), whose sum is σ = 120239280. Its totient is φ = 13741056.

The previous prime is 41224021. The next prime is 41224033. The reversal of 41224032 is 23042214.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 41223996 and 41224014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41224033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22993 + ... + 24720.

It is an arithmetic number, because the mean of its divisors is an integer number (2504985).

Almost surely, 241224032 is an apocalyptic number.

It is an amenable number.

41224032 is an abundant number, since it is smaller than the sum of its proper divisors (79015248).

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

41224032 is a wasteful number, since it uses less digits than its factorization.

41224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47732 (or 47718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41224032 is about 6420.5943650101. The cubic root of 41224032 is about 345.4486412825.

Adding to 41224032 its reverse (23042214), we get a palindrome (64266246).

The spelling of 41224032 in words is "forty-one million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 47713 95426 143139 190852 286278 381704 429417 572556 763408 858834 1145112 1288251 1526816 1717668 2290224 2576502 3435336 4580448 5153004 6870672 10306008 13741344 20612016 41224032