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41704992 = 25327137151
BaseRepresentation
bin1001111100010…
…1111000100000
32220110211111100
42133011320200
541134024432
64045514400
71014325620
oct237057040
986424440
1041704992
11215a563a
1211b72a00
138842914
145778880
1539dc07c
hex27c5e20

41704992 has 144 divisors (see below), whose sum is σ = 137434752. Its totient is φ = 11750400.

The previous prime is 41704979. The next prime is 41705039. The reversal of 41704992 is 29940714.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276117 + ... + 276267.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 241704992 is an apocalyptic number.

41704992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41704992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68717376).

41704992 is an abundant number, since it is smaller than the sum of its proper divisors (95729760).

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

41704992 is a wasteful number, since it uses less digits than its factorization.

41704992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 41704992 is about 6457.9402288965. The cubic root of 41704992 is about 346.7868978100.

The spelling of 41704992 in words is "forty-one million, seven hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 137 144 151 168 224 252 274 288 302 336 411 453 504 548 604 672 822 906 959 1008 1057 1096 1208 1233 1359 1644 1812 1918 2016 2114 2192 2416 2466 2718 2877 3171 3288 3624 3836 4228 4384 4832 4932 5436 5754 6342 6576 7248 7672 8456 8631 9513 9864 10872 11508 12684 13152 14496 15344 16912 17262 19026 19728 20687 21744 23016 25368 30688 33824 34524 38052 39456 41374 43488 46032 50736 62061 69048 76104 82748 92064 101472 124122 138096 144809 152208 165496 186183 248244 276192 289618 304416 330992 372366 434427 496488 579236 661984 744732 868854 992976 1158472 1303281 1489464 1737708 1985952 2316944 2606562 2978928 3475416 4633888 5213124 5957856 6950832 10426248 13901664 20852496 41704992