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41834016 = 253376917
BaseRepresentation
bin1001111110010…
…1011000100000
32220201101111000
42133211120200
541202142031
64052352000
71015404030
oct237453040
986641430
1041834016
1121683574
1212015600
138889573
1457ad8c0
153a153e6
hex27e5620

41834016 has 96 divisors (see below), whose sum is σ = 139466880. Its totient is φ = 11950848.

The previous prime is 41834003. The next prime is 41834017. The reversal of 41834016 is 61043814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41834017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2590 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (1452780).

Almost surely, 241834016 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 41834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69733440).

41834016 is an abundant number, since it is smaller than the sum of its proper divisors (97632864).

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

41834016 is a wasteful number, since it uses less digits than its factorization.

41834016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41834016 is about 6467.9220774527. The cubic root of 41834016 is about 347.1441513658.

The spelling of 41834016 in words is "forty-one million, eight hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 6917 13834 20751 27668 41502 48419 55336 62253 83004 96838 110672 124506 145257 166008 186759 193676 221344 249012 290514 332016 373518 387352 435771 498024 581028 664032 747036 774704 871542 996048 1162056 1307313 1494072 1549408 1743084 1992096 2324112 2614626 2988144 3486168 4648224 5229252 5976288 6972336 10458504 13944672 20917008 41834016