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41275752 = 23371967193
BaseRepresentation
bin1001110101110…
…1000101101000
32212200000200120
42131131011220
541031311002
64032403240
71010560320
oct235350550
985600616
1041275752
11213320a1
12119a6520
13872242b
1456a6280
153954cbc
hex275d168

41275752 has 128 divisors (see below), whose sum is σ = 126643200. Its totient is φ = 10948608.

The previous prime is 41275747. The next prime is 41275769. The reversal of 41275752 is 25757214.

41275752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213768 + ... + 213960.

It is an arithmetic number, because the mean of its divisors is an integer number (989400).

Almost surely, 241275752 is an apocalyptic number.

41275752 is a gapful number since it is divisible by the number (42) 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 41275752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63321600).

41275752 is an abundant number, since it is smaller than the sum of its proper divisors (85367448).

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

41275752 is a wasteful number, since it uses less digits than its factorization.

41275752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its digits is 19600, while the sum is 33.

The square root of 41275752 is about 6424.6207670181. The cubic root of 41275752 is about 345.5930484499.

The spelling of 41275752 in words is "forty-one million, two hundred seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 67 76 84 114 133 134 152 168 193 201 228 266 268 386 399 402 456 469 532 536 579 772 798 804 938 1064 1158 1273 1351 1407 1544 1596 1608 1876 2316 2546 2702 2814 3192 3667 3752 3819 4053 4632 5092 5404 5628 7334 7638 8106 8911 10184 10808 11001 11256 12931 14668 15276 16212 17822 22002 25669 25862 26733 29336 30552 32424 35644 38793 44004 51338 51724 53466 71288 77007 77586 88008 90517 102676 103448 106932 154014 155172 181034 205352 213864 245689 271551 308028 310344 362068 491378 543102 616056 724136 737067 982756 1086204 1474134 1719823 1965512 2172408 2948268 3439646 5159469 5896536 6879292 10318938 13758584 20637876 41275752