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41226528 = 2537311979
BaseRepresentation
bin1001110101000…
…1000100100000
32212120112011110
42131101010200
541023222103
64031343320
71010263650
oct235210440
985515143
1041226528
11212a9112
1211981b40
138705bc5
145692360
153945403
hex2751120

41226528 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 11393280.

The previous prime is 41226509. The next prime is 41226529. The reversal of 41226528 is 82562214.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×412265282 = 3399253221869568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41226495 and 41226504.

It is not an unprimeable number, because it can be changed into a prime (41226529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19843 + ... + 21821.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 241226528 is an apocalyptic number.

41226528 is a gapful number since it is divisible by the number (48) 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 41226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

41226528 is an abundant number, since it is smaller than the sum of its proper divisors (86507232).

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

41226528 is a wasteful number, since it uses less digits than its factorization.

41226528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2022 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 41226528 is about 6420.7887365962. The cubic root of 41226528 is about 345.4556131252.

The spelling of 41226528 in words is "forty-one million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 1979 2604 2976 3472 3958 5208 5937 6944 7916 10416 11874 13853 15832 20832 23748 27706 31664 41559 47496 55412 61349 63328 83118 94992 110824 122698 166236 184047 189984 221648 245396 332472 368094 429443 443296 490792 664944 736188 858886 981584 1288329 1329888 1472376 1717772 1963168 2576658 2944752 3435544 5153316 5889504 6871088 10306632 13742176 20613264 41226528