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41356728 = 23327312647
BaseRepresentation
bin1001110111000…
…0110110111000
32212211010202200
42131300312320
541041403403
64034230200
71011345360
oct235606670
985733680
1041356728
1121387a16
1211a25360
13875024a
1456c79a0
15396dca3
hex2770db8

41356728 has 96 divisors (see below), whose sum is σ = 132188160. Its totient is φ = 11430720.

The previous prime is 41356717. The next prime is 41356729. The reversal of 41356728 is 82765314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41356692 and 41356701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41356729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14301 + ... + 16947.

It is an arithmetic number, because the mean of its divisors is an integer number (1376960).

Almost surely, 241356728 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 41356728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66094080).

41356728 is an abundant number, since it is smaller than the sum of its proper divisors (90831432).

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

41356728 is a wasteful number, since it uses less digits than its factorization.

41356728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2690 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 41356728 is about 6430.9196853949. The cubic root of 41356728 is about 345.8188990669.

It can be divided in two parts, 413567 and 28, that added together give a triangular number (413595 = T909).

The spelling of 41356728 in words is "forty-one million, three hundred fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 2647 3906 5208 5294 7812 7941 10588 15624 15882 18529 21176 23823 31764 37058 47646 55587 63528 74116 82057 95292 111174 148232 164114 166761 190584 222348 246171 328228 333522 444696 492342 574399 656456 667044 738513 984684 1148798 1334088 1477026 1723197 1969368 2297596 2954052 3446394 4595192 5169591 5908104 6892788 10339182 13785576 20678364 41356728