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41485824 = 29333001
BaseRepresentation
bin1001111001000…
…0011000000000
32220001200212000
42132100120000
541110021244
64041104000
71012423632
oct236203000
986050760
1041485824
1121465a06
1211a88000
138796c33
14571ca52
153997169
hex2790600

41485824 has 80 divisors (see below), whose sum is σ = 122841840. Its totient is φ = 13824000.

The previous prime is 41485817. The next prime is 41485849. The reversal of 41485824 is 42858414.

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 7 ways as a sum of consecutive naturals, for example, 12324 + ... + 15324.

It is an arithmetic number, because the mean of its divisors is an integer number (1535523).

Almost surely, 241485824 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 41485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61420920).

41485824 is an abundant number, since it is smaller than the sum of its proper divisors (81356016).

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

41485824 is an equidigital number, since it uses as much as digits as its factorization.

41485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3006 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 41485824 is about 6440.9489984008. The cubic root of 41485824 is about 346.1783525898.

The spelling of 41485824 in words is "forty-one million, four hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3001 3456 4608 6002 6912 9003 12004 13824 18006 24008 27009 36012 48016 54018 72024 81027 96032 108036 144048 162054 192064 216072 288096 324108 384128 432144 576192 648216 768256 864288 1152384 1296432 1536512 1728576 2304768 2592864 3457152 4609536 5185728 6914304 10371456 13828608 20742912 41485824