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41364224 = 281137397
BaseRepresentation
bin1001110111001…
…0101100000000
32212211112001022
42131302230000
541042123344
64034325012
71011406256
oct235625400
985745038
1041364224
1121392610
1211a29768
138753795
1456ca5d6
1539710ee
hex2772b00

41364224 has 72 divisors (see below), whose sum is σ = 92740368. Its totient is φ = 18247680.

The previous prime is 41364223. The next prime is 41364227. The reversal of 41364224 is 42246314.

It is a junction number, because it is equal to n+sod(n) for n = 41364193 and 41364202.

It is not an unprimeable number, because it can be changed into a prime (41364223) 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, 103994 + ... + 104390.

Almost surely, 241364224 is an apocalyptic number.

41364224 is a gapful number since it is divisible by the number (44) 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 41364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46370184).

41364224 is an abundant number, since it is smaller than the sum of its proper divisors (51376144).

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

41364224 is a wasteful number, since it uses less digits than its factorization.

41364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 41364224 is about 6431.5024683195. The cubic root of 41364224 is about 345.8397912892.

It can be divided in two parts, 4 and 1364224, that multiplied together give a square (5456896 = 23362).

The spelling of 41364224 in words is "forty-one million, three hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 397 407 592 704 794 814 1184 1408 1588 1628 2368 2816 3176 3256 4367 4736 6352 6512 8734 9472 12704 13024 14689 17468 25408 26048 29378 34936 50816 52096 58756 69872 101632 104192 117512 139744 161579 235024 279488 323158 470048 558976 646316 940096 1117952 1292632 1880192 2585264 3760384 5170528 10341056 20682112 41364224