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41261376 = 2631361271
BaseRepresentation
bin1001110101100…
…1100101000000
32212122021222010
42131121211000
541030331001
64032212520
71010500362
oct235314500
985567863
1041261376
1121322312
121199a140
138718a20
1456a0d32
1539508d6
hex2759940

41261376 has 112 divisors (see below), whose sum is σ = 119936768. Its totient is φ = 12441600.

The previous prime is 41261371. The next prime is 41261377. The reversal of 41261376 is 67316214.

41261376 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×412613762 = 3405002298826752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41261371) 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 15 ways as a sum of consecutive naturals, for example, 152121 + ... + 152391.

It is an arithmetic number, because the mean of its divisors is an integer number (1070864).

Almost surely, 241261376 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 41261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59968384).

41261376 is an abundant number, since it is smaller than the sum of its proper divisors (78675392).

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

41261376 is a wasteful number, since it uses less digits than its factorization.

41261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 41261376 is about 6423.5018486804. The cubic root of 41261376 is about 345.5529213992.

The spelling of 41261376 in words is "forty-one million, two hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 271 312 366 416 488 542 624 732 793 813 832 976 1084 1248 1464 1586 1626 1952 2168 2379 2496 2928 3172 3252 3523 3904 4336 4758 5856 6344 6504 7046 8672 9516 10569 11712 12688 13008 14092 16531 17344 19032 21138 25376 26016 28184 33062 38064 42276 49593 50752 52032 56368 66124 76128 84552 99186 112736 132248 152256 169104 198372 214903 225472 264496 338208 396744 429806 528992 644709 676416 793488 859612 1057984 1289418 1586976 1719224 2578836 3173952 3438448 5157672 6876896 10315344 13753792 20630688 41261376