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41561408 = 267229457
BaseRepresentation
bin1001111010001…
…0110101000000
32220012112112102
42132202311000
541114431113
64042445532
71013160200
oct236426500
986175472
1041561408
1121507779
1211b038a8
1387c2465
14573c400
1539ae758
hex27a2d40

41561408 has 84 divisors (see below), whose sum is σ = 99463860. Its totient is φ = 17160192.

The previous prime is 41561407. The next prime is 41561411. The reversal of 41561408 is 80416514.

It can be written as a sum of positive squares in 2 ways, for example, as 29506624 + 12054784 = 5432^2 + 3472^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41561407) 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 11 ways as a sum of consecutive naturals, for example, 90716 + ... + 91172.

Almost surely, 241561408 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 41561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49731930).

41561408 is an abundant number, since it is smaller than the sum of its proper divisors (57902452).

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

41561408 is a wasteful number, since it uses less digits than its factorization.

41561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 41561408 is about 6446.8137866701. The cubic root of 41561408 is about 346.3884618721.

The spelling of 41561408 in words is "forty-one million, five hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 392 406 448 457 464 784 812 914 928 1421 1568 1624 1828 1856 2842 3136 3199 3248 3656 5684 6398 6496 7312 11368 12796 12992 13253 14624 22393 22736 25592 26506 29248 44786 45472 51184 53012 89572 90944 92771 102368 106024 179144 185542 204736 212048 358288 371084 424096 649397 716576 742168 848192 1298794 1433152 1484336 2597588 2968672 5195176 5937344 10390352 20780704 41561408