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41341056 = 273199541
BaseRepresentation
bin1001110110110…
…1000010000000
32212210100021020
42131231002000
541040403211
64034025440
71011251601
oct235550200
985710236
1041341056
1121377169
1211a18280
138746083
1456c1da8
153969306
hex276d080

41341056 has 64 divisors (see below), whose sum is σ = 110568000. Its totient is φ = 13685760.

The previous prime is 41341043. The next prime is 41341057. The reversal of 41341056 is 65014314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×413410562 = 3418165822390272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41341057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76146 + ... + 76686.

It is an arithmetic number, because the mean of its divisors is an integer number (1727625).

Almost surely, 241341056 is an apocalyptic number.

41341056 is the 4067-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55284000).

41341056 is an abundant number, since it is smaller than the sum of its proper divisors (69226944).

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

41341056 is a wasteful number, since it uses less digits than its factorization.

41341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 41341056 is about 6429.7010816989. The cubic root of 41341056 is about 345.7752112255.

The spelling of 41341056 in words is "forty-one million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 541 597 796 1082 1194 1592 1623 2164 2388 3184 3246 4328 4776 6368 6492 8656 9552 12736 12984 17312 19104 25472 25968 34624 38208 51936 69248 76416 103872 107659 207744 215318 322977 430636 645954 861272 1291908 1722544 2583816 3445088 5167632 6890176 10335264 13780352 20670528 41341056