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41709696 = 273759263
BaseRepresentation
bin1001111100011…
…1000010000000
32220111001221120
42133013002000
541134202241
64045552240
71014345420
oct237070200
986431846
1041709696
11215a9126
1211b75680
138844ac2
14577a480
1539dd666
hex27c7080

41709696 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 11670528.

The previous prime is 41709683. The next prime is 41709713. The reversal of 41709696 is 69690714.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158461 + ... + 158723.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 241709696 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 41709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

41709696 is an abundant number, since it is smaller than the sum of its proper divisors (87544704).

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

41709696 is a wasteful number, since it uses less digits than its factorization.

41709696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 41709696 is about 6458.3044214407. The cubic root of 41709696 is about 346.7999356117.

The spelling of 41709696 in words is "forty-one million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 263 336 354 384 413 448 472 526 672 708 789 826 896 944 1052 1239 1344 1416 1578 1652 1841 1888 2104 2478 2688 2832 3156 3304 3682 3776 4208 4956 5523 5664 6312 6608 7364 7552 8416 9912 11046 11328 12624 13216 14728 15517 16832 19824 22092 22656 25248 26432 29456 31034 33664 39648 44184 46551 50496 52864 58912 62068 79296 88368 93102 100992 108619 117824 124136 158592 176736 186204 217238 235648 248272 325857 353472 372408 434476 496544 651714 706944 744816 868952 993088 1303428 1489632 1737904 1986176 2606856 2979264 3475808 5213712 5958528 6951616 10427424 13903232 20854848 41709696